EhabR451576 EhabR451576
  • 03-11-2022
  • Mathematics
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Simplify the expression showed question … which is the correct answer

Simplify the expression showed question which is the correct answer class=

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RehaanK785678 RehaanK785678
  • 03-11-2022

Okay, here we have this:

We need to simplify the following expression:

[tex]\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}[/tex]

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

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