Question

Simplify the expression so there is only one positive power for the base

Answer 1

Option C:

$-5^{5}$

Solution:

Given expression is $-5^7\div-5^2$.

To simplify the given expression.

Using exponent rule: $a^m\div a^n = a^{m-n}$

$-5^7\div-5^2$

Here the bases are same (–5), so we can subtract the powers of the bases.

$-5^7\div-5^2=-5^{7-2}$

                 $=-5^{5}$

The positive power of the base –5 is 5.

Option C is the correct answer.

Hence the simplified form of $-5^7\div-5^2$ is $-5^5$.