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QveST [7]
1 year ago
13

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

Mathematics
1 answer:
mixas84 [53]1 year ago
7 0

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

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