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:

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

So, the given expression will be as follows:

$(8q^9)^{-4}=8^{-4}*q^{9*-4}=\frac{1}{8^4}q^{-36}=\frac{1}{4096}q^{-36}$

So, the answer will be the second option