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Simplify the expression showed question … which is the correct answer

Simplify the expression showed question … which is the correct answer-example-1

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Okay, here we have this:

We need to simplify the following expression:


\begin{gathered} (5^(-4)(25)^4)^2 \\ =(5^(-4)(5^2)^4)^2 \\ =(5^(-4)\cdot5^8)^2 \\ =(5^(-4+8))^2 \\ =(5^4)^2 \\ =5^8 \end{gathered}

Finally we obtain that the correct answer is the option B.

User Andrew Downes
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