5 to the power of x 1 125 Sep 14 2017 x 3 Explanation There is a base f 5 on the left side so write the denominator on the right as a base of 5 as well 5x 1 125 5x 1 53 Move the base to the numerator 5x 5 3 If the bases are equal the indices are equal x 3 Answer link
Algebra Exponent Calculator Simplify Exponential Expression Step 1 Enter an exponential expression below which you want to simplify The exponent calculator simplifies the given exponential expression using the laws Socratic questions how do you solve 5 x 1 125 displaystyle left x 2 right Explanation displaystyle 5 x 1 125 displaystyle 125 can be simplified by prime factorisation displaystyle left 125 5 cdot 5 cdot 5 5 3 right
5 to the power of x 1 125
5 to the power of x 1 125
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Precalculus Solve for x 5 x 1 1 125 5x 1 1 125 5 x 1 1 125 Raise 125 125 to the power of 1 1 5x 1 1 1251 5 x 1 1 125 1 Move 1251 125 1 to the numerator using the negative exponent rule 1 bn b n 1 b n b n 5x 1 125 1 5 x 1 125 1 Create equivalent expressions in the equation that all have equal bases An exponent is a way to represent how many times a number known as the base is multiplied by itself It is represented as a small number in the upper right hand corner of the base For example x means you multiply x by itself two times which is x x Likewise 4 4 4 etc If the exponent is 3 in the example 5 then the result
Exponents Powers Examples 3a 2 3 2ab 2 4 6b 2 2 2x 2 y 2 2 Show More Description Apply exponent rules to multiply exponents step by step exponents powers calculator en Related Symbolab blog posts Practice Makes Perfect Learning math takes practice lots of practice Just like running it takes practice and This online Mathematics Power Calculator allows you to calculate the number raised to any power To use the calculator simply input the number and its power
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x n 3 4 dfrac 1 3 4 dfrac 1 3 cdot 3 cdot 3 cdot 3 dfrac 1 81 0 012346 Exponent Notation Note that 4 2 and 4 2 result in different answers 4 2 1 4 4 16 while 4 2 4 4 16 If you enter a negative value for x such as 4 this calculator assumes 4 n When an exponent is 1 the base remains the same a 1 a When an exponent is 0 the result of the exponentiation of any base will always be 1 although some debate surrounds 0 0 being 1 or undefined For many applications defining 0 0 as 1 is convenient a 0 1 Shown below is an example of an argument for a 0 1 using one of the previously
Solution Step 1 Write the base and multiply it up to power times 53 5 5 5 5 to the 3rd power Step 2 Multiply 53 5 5 5 125 Example Solve 2 23624 Solution Step 1 Write 2 up to 23624 times with a multiply sign between each term of 2 2 23624 2 x 2 x 2 x 2 x 2 x x 2 23624 times So 82 8 8 64 In words 8 2 could be called 8 to the power 2 or 8 to the second power or simply 8 squared Some more examples Example 53 5 5 5 125 In words 5 3 could be called 5 to the third power 5 to the power 3 or simply 5 cubed Example 24 2 2 2 2 16
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5 to the power of x 1 125 - Explanation 5x 1 125 125 can be simplified by prime factorisation 125 5 5 5 53 5x 1 53 As the bases are equal we can equate the powers x 1 3 x 3 1 x 2 Answer link