Question

(-5a^2)^3•a^5find the product.

Answer 1

To find the product we need to remember the following rules:

`a^na^m=a^(n+m)`

and

`(a^n)^m=a^(nm)`

With this in mind:

`\begin{gathered} (-5a^2)^3a^5=(-5)^3(a^2)^3a^5 \\ =-125a^6a^5 \\ =-125a^(11) \end{gathered}`