Question

What value of n makes
(5^n)(5^2)=5^16 true?

Answer 1

n = 14

Explanation:

Recall the rule:

`a^m * a^n = a^(m + n)`

`(5^n)(5^2) = 5^(16)`

`(5^n)(5^2) = 5^(n + 2) = 5^(16)`

`n + 2 = 16`

`n = 14`

Answer 2

14

Explanation:

By following the exponent rule, when multiplying two numbers of the same term with exponents, you simply add them together.

Therefore, to make (5^n)(5^2)=5^16 true, n must equal 14 since:

14 + 2 = 16