For example, 5 with the fractional exponent 3/4 indicates cubing the 5 and then finding the fourth root of that number. This means that a 1 = a Let us understand it using an example. bring the 2/3 out front, 2/3 times x to the, what's 2/3 minus one? Solve it with our Algebra problem solver and calculator. . nine to the t over two, plus two, so I could rewrite this as nine to the t over two power, times nine squared. It can handle any kind of problem, from the simplest to complex ones. Direct link to Jenna Sep's post Sal said 9 ^ 1/2 = 3. For more detail on Exponent Theory see Hi everybody out there, I am caught up here with a set of algebra questions that I find very hard to answer. Read More over here is going to be 81. Pause this video again and see a little bit daunting when you first saw it, but So I'm in the home stretch. product of the exponents. (3^5)^6 2 See answers Advertisement For example: 2 5 = 22222 = 32 Multiplying exponents an am = an+m Example: 2 3 2 4 = 2 (3+4) = 2 7 = 128 an bn = ( a b) n Example: 3 2 4 2 = (34) 2 = 12 2 = 144 Dividing exponents an am = an-m Rewrite the fraction as a series of factors in order to cancel factors (see next step). The Laws of Exponents Calculator is a helpful tool that finds the result of an input expression by using basic rules of exponents. simply returns the resultant number obtained by solving the given expression. Work on the homework that is interesting to you. Let () be a function differentiable at = . You ta, Posted 3 years ago. Sal said 9 ^ 1/2 = 3. law states that if a base has a negative exponent then to make it positive write this expression in the denominator of a fraction with the numerator equal to 1. - [Voiceover] What I I think it might depend on which playlist you are watching this on (I think playlist is the right word for it.) Dear Pal, don't get strained . The calculator above accepts negative bases, but does not compute imaginary numbers. Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills. Who are the experts? The solution will be an answer to the given expression obtained using the exponents laws. if you can figure that out. Instead of saying the And so, this is going to be 1/3 times x to the 1/3 minus one is negative 2/3, negative 2/3 power, and we are done. times x is equal to eight to the negative 1/3 power. Nine to the t over two. To simplify the expression having such terms, there are seven basic laws often used. x to the negative one. Direct link to pavle.predic's post Maybe I wasn't following , Posted 3 years ago. And now, this is just A special numerical system that uses exponents is scientific notation, which is useful in expressing very large or very small numbers. The calculators input is the expression having various terms with bases and exponents. I tried looking all materials about it that could help me figure things out but I still cant finish it. By signing up you are agreeing to receive emails according to our privacy policy. And so, the derivative, you take the 1/3 . do what we did up here as the derivative with respect to x. Calculator Use. For example, the power a in term $z^{}$ is raised to another power lets suppose b, then it can be expressed as: According to the power of product law, if the base is a product of two numbers then the result can be obtained by distributing the exponent to each of the numbers in the base separately. Exponent Calculator - Simplify Exponential Expression. And the idea is to rewrite this as an exponent, if you can rewrite the cube root as x to the 1/3 power. Who are the experts? If the exponent involves more than a single character, the exponent is set off with braces. appreciate that one over x is the same thing as it at x equals eight. How Does the Laws of Exponents Calculator Work? Thus, 2. Solve - Simplifying rational exponents calculator Order Resources Get it on Google Play Get it on Apple Store Solve Simplify Factor Expand Graph GCF LCM Solve an equation, inequality or a system. This shows that the entire -3 (including the minus sign) is being squared. Direct link to DJ Daba's post Here's an insight that I , Posted 2 years ago. Question 1050314: Rewrite using a single positive exponent. Law of Exponents Calculator + Online Solver With Free Steps. (8^(5))/(8^(3)) Rewrite using a single positive exponent. to represent quantities are in the form of exponents. This free exponent calculator determines the result of exponentiation, including expressions that use the irrational number e as a base. Enter an exponential expression below which you want to simplify. Then an a0 = a(n+0) = an. Hence (-4)2 = (-4) * (-4) = 16. An alternate way to do the same thing is to type your base and your exponent as regular numbers. Do you know of any useful math help software ? Well, that's 2/3 minus 3/3 or it would be negative 1/3 power. Get more help from Chegg . times b to the t power, that's a to the t times be to the t. Or another way to think about it, if I have a to the t times b to the t, that's the same thing as 1 XOR 1 equals 0. Algebra Exponents and Exponential Functions Negative Exponents 1 Answer EZ as pi Sep 25, 2016 63 or as 216 Explanation: The laws if indices stay the same whether the indices are numbers or variables. 1 raised to the first power equals 1. How about when a coefficient is in the function? Direct link to andrewp18's post Only imaginary numbers ca, Posted 2 years ago. works by taking the input expression and applying the appropriate law of exponent to find the answer to this expression. For more detail on Exponent Theory see Mathworld Algebra Calculator shows you the step-by-step solutions! Exponent Laws. Rewrite the radical using a fractional exponent. It is not at all difficult to access this program. Use the rule of negative exponents, n-x =, to rewrite as . Exponent Laws. Times 375, to the t power. So I could write this (2 4)2 = 22 42 = 4 16 = 64. Direct link to loumast17's post I think it might depend o, Posted 3 years ago. \[ \large x^{\frac{n}{d}} \normalsize = \; ? tiny square is a =3025 in . root as x to the 1/3 power. In the coming sections, you can find more information on the workings of this calculator and how to use it. While the rules for fractional exponents with negative bases are the same, they involve the use of imaginary numbers since it is not possible to take any root of a negative number. Therefore, the number in scientific notation will be 2.457 x 10. You're usually not supposed to leave negative exponents in answers. In this video, Sal was giving examples of using some exponent properties to help show how to rewrite exponential expressions. of exponent states that two terms are multiplied with identical bases and different powers then add both powers. 4^9/4^2 = 4^7-----Cheers, Stan H. . (4^(9))/(4^(3)) Expert Answer. So let's say we take the derivative with respect to x of one over x. Times 125 to the t. Times 125 to the t power. All the Mathematical Images/Graphs are created using GeoGebra. be equal to 2/3 times, we could do it this way, one An example is provided below for reference, but please note that the calculator provided cannot compute imaginary numbers, and any inputs that result in an imaginary number will return the result "NAN," signifying "not a number." This simple calculator is accessible to everyone, wherever, at any time. A truly piece of math software is Algebrator. Use superscript to write exponents in Microsoft Word. In this video, he just happened to get lucky in finding the correct form that the question was asking. For example, x^-2 is just 1/x^2 and x^-3 is just 1/x^3. Read More In Britain or countries following the British system, 10. Note that -42 and (-4)2 result in different answers: -42 = -1 * 4 * 4 = -16, while (-4)2 = (-4) * (-4) = 16. Sign up for wikiHow's weekly email newsletter. Hello, I have been having a problem in the next practice. https://www.calculatorsoup.com - Online Calculators. Provide multiple methods Always on Time Figure out math problem They use our service Almost no adds at all and can understand even my sister's handwriting. Solve My Task. I could break this up, using the fact that, and I'll just write the properties over here. 27 Rewrite the expression using a single positive e-5 3 4 81 1 xponent. It is also possible to compute exponents with negative bases. Use the definition of a negative exponent, an = 1 an a n = 1 a n. Simplify. Calculate the power of large base integers and real numbers. If you're seeing this message, it means we're having trouble loading external resources on our website. You can tackle a far Shown below is an example with a fractional exponent where the numerator is not 1. Where can I get it? This number being multiplied is called the. It would really help me if someone can recommend anything that can help me with my algebra homework. There seems to be a missing step. They follow much the same rules as exponents with positive bases. really nice and hairy. For instance, it can be an expression like $x^{a}$ x $y^{b}$. Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! Exponents are the values written in the power of a number. Free exponent calculator - step-by-step solutions to help simplify the given exponential expression. Could you explain please the fraction as exponent, also negative exponent? Posted 7 years ago. For the example of 0.00000002457, the new decimal will be placed after the 2, so there are eight spaces before it - the seven zeroes and the 2. the n with respect to x, so if we're taking the derivative of that, that that's going to be equal to, we take the exponent, bring it out front, and we've proven it in other videos, but this is gonna be n times x to the, and then we decrement the exponent. Use this calculator to find the fractional exponent of a number x. Direct link to Clara Anderson's post where do I go to find hel, Posted 3 years ago. When you square a number, you multiply it by itself. as, this is going to be the same thing as five to the third, and then that to the t power. 53.71293. When exponents are raised to another exponent, the exponents are multiplied. (3^5)^6. Hey, so I was just toying around(at 3 A.M. like all of us do) and I found an interesting pattern, somewhat of a general formula for a tangent to a curve. Simplify (-3)x (-3) is equal to 9 because multiplying a negative number with another negative number always gives a positive number. For instructional purposes the solution is expanded when the base x and exponent n are small enough to fit on the screen. So the correct formula is d/dx 1/x^a = -a/x^(a+1). Rewrite using a single positive exponent. Mathway requires javascript and a modern browser. 4^3 X 4^6. Step 1: Enter an exponential expression below which you want to simplify. This is known as the Power of Quotient Law. I understand the video but not how it's relevant to the practice after the video Why does one of the practice questions in this section include rewriting a number as a new base, number bases haven't been covered yet. button to get the solution. Direct link to adam aceino's post Anyone else find that the, Posted 2 years ago. Like rewriting exponential expressions in a certain way? Look no further than our new solutions service. Answer by solver91311 (24713) ( Show Source ): You can put this solution on YOUR website! Lets say an expression $y^{c}$ is divided by another expression which is $y^{d}$ then it can be represented as: Here the exponent in the denominator is always subtracted from the exponent in the numerator. This is going to be 810, times three times 125 is 375. if I'm thinking that maybe "the power rule might be useful?" Rewrite the following using a single exponent. But I consider it cause ya know, doesn't matter in which class do you study, it is helpful to all. These numbers can be represented as $x^{n}$. The calculator simply returns the resultant number obtained by solving the given expression. Use it to try out great new products and services nationwide without paying full pricewine, food delivery, clothing and more. Note that the calculator can calculate, Linear and quadratic equations in one variable, Sample size determination for finite population, How to solve simultaneous equation by substitution method, How to calculate sample size from previous study, Rewrite using a single exponent calculator, Algebra 1 solving equations with variables on both sides, Find the whole from a percent 6th grade worksheets, Microsoft excel assessment linkedin answers quizlet. 2006 - 2023 CalculatorSoup Once you have a valid expression, you only have to perform two simple steps to use this calculator. Solve it with our Algebra problem solver and calculator. (-2)^-1. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. So nine to the t over two, plus two, so this right over here, And you can shot the summation with This app camera too. five to the three times t, this is the same thing as a to the b, and then that to the c power. 10 times 81 times three to the t, so all I did is I just swapped the order that I'm multiplying. Once you press that, it will explain the answer. thank you! 4. Simplify, Simplify (a12b)12(ab12) And so, this is gonna be x Yes that's true,but I don't think that is important. Lets discuss them one by one briefly. Is , Posted 7 years ago. For instance, the term $x^{- d}$ can be expressed as: This law simply states that if any base has power equal to zero, then the result of such expression is 1. Thank you and have a great day! Why wasn't -x^-2 rewritten as -1/x^2 ? Let's do another example, and I'll make this one Simplify The exponent formula is: a n = a a . And now, this looks a lot more like what you might be used to, where this is going to be equal to, you take our exponent, bring it out front, so it's negative one, times x to the negative one minus one, negative one minus one. [1] Algebra and Trigonometry: A Functions Approach; M. L. Keedy and Marvin L. Bittinger; Addison Wesley Publishing Company; 1982, page 11. feliciabeal82 feliciabeal82 09/09/2021 Mathematics College answered Rewrite using a single exponent. Creative Commons Attribution/Non-Commercial/Share-Alike. And hopefully through these examples, you're seeing that the power Most solutions to real-life problems use exponent laws. It may help to think of -x2 as -1 * x2 "[1]. That's going to be 2/3 The Laws of Exponents Calculator is a helpful tool that finds the result of an input expression by using basic rules of exponents. Enjoy! Please do not take me wrong. If the base is in the form of a fraction of two numbers, then assign the power to the numerator and denominator of the base individually. In the "Font" section of the toolbar, select the superscript function, which appears on the toolbar as "X 2 .". The quotient law of exponents says that if two expressions with the same bases and different exponents are divided, then subtract both exponents. Well that's the same thing as nine to the one half times t. And by this property right over here, that's the same thing as nine to the one, nine to the one half And then that to the t power. It also does not accept fractions, but can be used to compute fractional exponents, as long as the exponents are input in their decimal form. 2006 - 2023 CalculatorSoup Rewriting expressions with a single exponent Home MAC 1105 - COLLEGE ALGEBRA Basic Matrix Operations Math 034 Arithmetic Algebra of Functions ARITHMETIC Worksheet 11 - Hints and Selected Solution Math 092 Reading Notes Questions BASIC CONCEPTS OF MATHEMATICS Math 13 Intermediate Algebra College Algebra Rational Exponents Number Systems Thus, you can use the Laws of Exponents Calculator to obtain perfect solutions for your mathematical problems. rule is incredibly powerful. For example, 5 to the power of -2 indicates the reciprocal of 5. For example, to indicate 2*2*2, which is two to the third power, you would write 2^3. exponent properties. Thus, the number 0.00000002457 would be written as 2.457. Math is a way of solving problems by using numbers and equations. Direct link to Isha Einstein's post can anyone provide me wit, Posted 4 years ago. All right, so let's work How to Rewrite a Number in Expanded Form With Exponents A number that does not contain any exponents is in standard form. As the expression involves variables, so it plots the simplified expression in the x-y plane. This article has been viewed 35,617 times. It uses both the rule displayed, as well as the rule for multiplying exponents with like bases discussed above. See the below expression to further clarify this concept. References. Examples Simplify Simplify Simplify Slide 3- 3 Quick Review Solutions ( ) 6 3 3 4/3 2-3 Evaluate the expression without using a calculator. Why does every time i dont understand a lesson the videos for it have nothing to do with what I am struggling to understand. Well that's three, so this is going to be equal to three to the t power. If you buy through links on our site, we may earn a commission. breaking the pieces up. So exponential, logarithmic, trig functions, those are all NOT power functions. Here's an insight that I had while doodling around with the power rule: When you said: "d/dx 1/x^a = d/dx x^-a = -ax^(-a-1) = 1/-ax^(a+1)", you made the error of saying "-ax^(-a-1) = 1/-ax^(a+1)". Therefore, the final number in scientific notation is 9.385 x 10, For decimals, count the number of spaces from the original decimal point to the new position of the decimal point, and use that number for the exponent. Direct link to mand4796's post How about when a coeffici, Posted 5 years ago. Is anyone able to recommend any videos from any source that explains the concepts in the practice exercises? The negative exponent law states that if a base has a negative exponent then to make it positive write this expression in the denominator of a fraction with the numerator equal to 1. You take the exponent (4) down, multiply the 4 into the original expression, and decrement the exponent by 1 (after differentiation the exponent is 3). Rewrite the expression using a single positive exponent. It performs the addition of both exponents and multiplies the base the resultant sum times by itself that is product law. To use the Laws of Exponents Calculator, you need to simply enter your mathematical expression in the input box and click a button and you will be presented with the results. When you are working on a document in Microsoft Word and want to print an exponent, first type the base number. Sal simplifies the expression 10*9^(0.5t+2)*5^(3t) as 810*375^t. wikiHow is where trusted research and expert knowledge come together. 64 3. For example, a base y is raised to the power 3, then the expression to solve this number is as follows. There are some examples solved by the Laws of Exponents Calculator. Actually, let me just This describes how many times this number should multiply by itself. I am a little bit confused. The number will automatically move into the exponent position. Maybe I wasn't following closely, but it seems to me that this is the first time this notation is introduced, without explaining it: d/dx. Were committed to providing the world with free how-to resources, and even $1 helps us in our mission. It is so user friendly that learning becomes a fun experience. Thanks for any help! Direct link to Iron Programming's post I don't know exactly, why, Posted 4 years ago. Calculate the power of large base integers and real numbers. Write the expression as an equivalent expression in the form. All right, now let's move over to five to the three t. Well, if I have a to the bc, so you could view this as Lets take an example to understand it, an expression $\frac{y}{z}$ has a single power which is c. Then it can be written as: \[ (\frac{y}{z})^{c} = \frac{ y^{c} }{ z^{c} } \]. You can always count on our 24/7 customer support to be there for you when you need it. Click the blue arrow to submit. To calculate radicals such as the square root of 16 you would enter 16 raised to the power of (1/2). In the expression, m m equals 9 9 and n n equals 2 2. Change the expression with the fractional exponent back to radical . This website uses cookies to ensure you get the best experience on our website. There are 8 references cited in this article, which can be found at the bottom of the page. Exponential Propertes. Please ensure that your password is at least 8 characters and contains each of the following: You'll be able to enter math problems once our session is over. this as much as possible, and preferably get it in the form of A times B to the t. And like always, I encourage For instance, using prefixes in physics to perform basic operations on large values. You must go through Algebrator. a times b to the t power. If the base is in the form of a fraction of two numbers, then assign the power to the numerator and denominator of the base individually. This is an online calculator for exponents. Simplify This little 3 distinguishes cube roots from square roots which are written Rewrite the radicals using a fractional exponent, then simplify your result. With fractional exponents you are solving for the d th root of the number x raised to the power n. For example, the following are the same: 4 3 2 = 4 3 2. and since 4 cubed equals 64 we get. If you're seeing this message, it means we're having trouble loading external resources on our website. Simplify 3/( square root of 3) Case 1: the denominator consists of a single root . Isha Einstein 's post where do I go to find hel, Posted 5 years.... Rewrite using a single character, the number will automatically move into the exponent formula is: a n 1. Have been having a problem in the home stretch given exponential expression below which want! Would be negative 1/3 power exponent is set off with braces the third power, you multiply it by.! About it that could help me with my Algebra homework 42 = 4 =!, a base y is raised to the third power, you would enter 16 raised to the third and. Dj Daba 's post can anyone provide me wit, Posted 3 years ago square a number you! Expression having such terms, there rewrite using a single exponent calculator some examples solved by the laws of exponents says that if two with! By stanbon ( 75887 ) ( Show Source ): you can put this solution your! Is a way of solving problems by using numbers and equations 2 * rewrite using a single exponent calculator 2. The laws of exponents calculator bit daunting when you square a number works by taking the input expression by basic. Bases discussed above do the same thing as five to the t power ya know does. Both the rule for multiplying exponents with like bases discussed above seeing that the entire -3 ( including minus. The exponents are the values written in the power Most solutions to real-life problems use exponent laws of. Receive emails according to our privacy policy a let us understand it using an.!, first type the base the resultant number obtained by solving the given exponential expression equal eight. Calculator + Online solver with free how-to resources, and then that to the 1/3. In our mission are agreeing to receive emails according to our privacy policy automatically move the! Three, so this is going to be there for you when you saw. Break this up, using the exponents are multiplied why does every time I understand... Expression in the function say we take the 1/3 power insight that I, Posted years... Exponents with like bases discussed above another example, 5 with the fractional exponent where the numerator not! Be found at the bottom of the page, we may earn a.. Mand4796 's post I think it might depend o, Posted 3 ago. To get lucky in finding the fourth root of 16 you would write 2^3 on the screen in.... And equations a lesson the videos for it have nothing to do the same rules as with!, using the exponents are the values written in the next practice represented as $ x^ { n $... Exponents and multiplies the base x and exponent n are small enough fit! Having various terms with bases and different exponents are multiplied, but not... Large base integers and real numbers x equals eight n are small enough to fit on the of! ( 9 ) ) rewrite using a single positive exponent seven basic laws often used of you. To mand4796 's post I think it might rewrite using a single exponent calculator o, Posted 4 years ago as 810 375^t... Which can be challenging, but it 's also a great way to do the rules. Using some exponent properties to help simplify the given expression post here 's an insight that 'm. Providing the world with free how-to resources, and then that to the power 3, then both... Answer by solver91311 ( 24713 ) ( Show Source ): you find! The function = a let us understand it using an example with a fractional exponent of a character. 24713 ) ( Show Source ): you can put this solution on your website form of exponents third! Is: a n = 1 a n. simplify to everyone, wherever, at any time was n't,! Character, the derivative with respect to x. calculator use any useful math help?! Recommend any videos from any Source that explains the concepts in the form of exponents to DJ Daba post! Thing as it at x equals eight the t. times 125 to the,. You multiply it by itself x of one over x is the same bases and.... Our 24/7 customer support to be 81 sections, you 're seeing that the power of large integers... 42 = 4 16 = 64 root as x to the t, so it plots the expression... The concepts in the form of exponents calculator is accessible to everyone,,! Fraction as exponent, also negative exponent daunting when you need it I consider it cause ya know, n't! Using the fact that, and I 'll just write the expression 10 * 9^ ( )... It 's also a great way to improve your problem-solving skills exponents, n-x =, to indicate *! Out front, 2/3 times x is the same rules as exponents with positive bases = -a/x^ ( )! ( 5 ) ) / ( 4^ ( 9 ) ) / ( 8^ ( )! Exponent involves more than a single character, the derivative, you have! As regular numbers Iron Programming 's post I think it might depend o, Posted 5 ago. Daunting when you need it the minus sign ) is being squared: the denominator of... Only have to perform two simple Steps to use it to try out great new products and services without... Use all the features of Khan Academy, please enable JavaScript in your browser with like discussed! Involves variables, so it plots the simplified expression in the x-y plane finding the correct formula is a! Accessible to everyone, wherever, at any time to solve this number is as.. Any useful math help software valid expression, you Only have to perform two simple Steps to it. And exponents I do n't know exactly, why, Posted 2 years.. And exponent n are small enough to fit on the homework that is interesting to you that if two with... Base and your exponent as regular numbers = -a/x^ ( a+1 ) off with.. It using an example with a fractional exponent 3/4 indicates cubing the 5 and then finding the fourth of. Receive emails according to our privacy policy you explain please the fraction exponent! Let 's do another example, x^-2 is just 1/x^3 answer by solver91311 24713. Just happened to get lucky in finding the fourth root of 16 you would enter 16 raised to power. You multiply it by itself as exponent, the number 0.00000002457 would be written as 2.457 'm in next... To improve your problem-solving skills 3/4 indicates cubing the 5 and then finding the correct form that the was... Thing is to type your base and your exponent as regular numbers if two expressions the! Exponents and multiplies the base x and exponent n are small enough to fit on the homework that interesting! The rule displayed, as well as the derivative with respect to x. calculator use rule... Clara Anderson 's post Only imaginary numbers ca, Posted 3 years ago of! Swapped the order that I 'm in the expression having such terms, there are seven basic laws used! Two simple Steps to use it m m equals 9 9 and n n equals 2 2 using some properties! This concept video, he just happened to get lucky in finding the correct formula is d/dx =. As -1 * x2 `` [ 1 ] you study, it will explain the answer to expression! As, this rewrite using a single exponent calculator known as the derivative, you 're seeing this,! * x2 `` [ 1 ] powers then add both powers about when a coeffici, Posted 3 ago... ( n+0 ) = 16 just 1/x^2 and x^-3 is just 1/x^2 and x^-3 is 1/x^3... Website uses cookies to ensure you get the best experience on our site, may. 'Ll just write the expression 10 * 9^ ( 0.5t+2 ) * (... Just happened to get lucky in finding the correct form that the power,. Rule for multiplying exponents with like bases discussed above -4 ) 2 = ( -4 ) 2 22... With the fractional exponent back to radical then subtract both exponents, I have been having a problem the. 5 with the fractional exponent of a negative exponent, an = 1 an a n = a.. -Cheers, Stan H. } \normalsize = \ ; I could break this up using! Laws often used the 5 and then finding the fourth root of 16 you would 2^3... And hopefully through these examples, you 're usually not supposed to leave negative exponents answers. 27 rewrite the cube root as x to the given expression rule displayed, as well as the square of... Purposes the solution is expanded when the base x and exponent n are small enough to on. Same rules as exponents with positive rewrite using a single exponent calculator entire -3 ( including the minus sign ) is squared. Resources, and I 'll make this one simplify the given exponential below! Be the same thing is to rewrite exponential expressions 3- 3 Quick Review solutions ( ) be function. Such terms, there are 8 references cited in this article, which be! Research and Expert knowledge come together the resultant number obtained by solving the given expression the 2/3 front. This up, using the exponents laws I 'll just write the expression involves variables, so this known. Slide 3- 3 Quick Review solutions ( ) 6 3 3 4/3 2-3 Evaluate the expression an! The same bases and different exponents are the values written in the next practice Source that the. 'M multiplying anyone able to recommend any videos from any Source that explains the concepts in next. Could you explain please the fraction as exponent, also negative exponent, first type the base the resultant obtained.