Question

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

Answer 1

Answer:

14

Step-by-step 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

Answer 2

Answer:

n = 14

Step-by-step explanation:

Recall the rule:

$a^m \times a^n = a^{m + n}$

$(5^n)(5^2) = 5^{16}$

$(5^n)(5^2) = 5^{n + 2} = 5^{16}$

$n + 2 = 16$

$n = 14$