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:

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

To simplify:

Using the quotient of powers rule we get,

$\begin{gathered} (-5)^7\div(-5)^2=(-5)^{7-2} \\ =(-5)^5 \end{gathered}$

Hence, the answer is,

$(-5)^5$