Question

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

Answer 1

Given:

The expression is

`(-5)^7/  (-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/  (-5)^2`

`=((-5)^7)/((-5)^2)`

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

`=(-5)^(7-2)`
`[\because (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.