Question

Simplify the expression so there’s only one positive power for the base, -5.

Answer 1

Given:

The expression is

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

To find:

The simplified form of the given expression so there is only one positive power for the baser -5.

Solution:

We have,

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

$=\dfrac{(-5)^7}{(-5)^2}$

Using the properties of exponents, the given expression can be written as

$=(-5)^{7-2}$                  $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$=(-5)^{5}$

Here, the base is -5 and the exponent is 5.

Therefore, the correct option is C.