Question

Hello, I am a little confused about this problem. Would you mind helping me?

Answer 1

Given the following expression:

`(8q^9)^(-4)`

To simplify the expression, we will use the following rules:

`\begin{gathered} (a^m)^n=a^(m*n) \\ a^(-m)=(1)/(a^m) \end{gathered}`

So, the given expression will be as follows:

`(8q^9)^(-4)=8^(-4)*q^(9*-4)=(1)/(8^4)q^(-36)=(1)/(4096)q^(-36)`

So, the answer will be the second option