Question

Simplify the expression so there is only one positive power for the base, -5.-5 to the power of 7 divided by -5 to the power of 2

Answer 1

Given:

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

To simplify:

Using the quotient of powers rule we get,

`\begin{gathered} (-5)^7/(-5)^2=(-5)^(7-2) \\ =(-5)^5 \end{gathered}`

Hence, the answer is,

`(-5)^5`