Question

Write the expression using a single exponent. (6^2)^7

Answer 1

`6^(14)`

Explanation:

Use the "Power Law" of exponents that tells us that when you have a base to a power "n" and all that raised to a power "m", it is the same as writing the original base to the single exponent which is the product of n time m:

`(b^n)^m=b^(n*m)`

therefore in your case, the base "b" is 6, the exponent "n" is 2, and the exponent "m" is 7. Then:

`(6^2)^7=6^(2*7)=6^(14)`