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Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d-example-1

2 Answers

3 votes

Answer: 23692929

Explanation:

User Pedromss
by
4.4k points
5 votes

Hi there!

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I believe your answer is:


(25x-4)^8

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Here’s why:

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\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^(16)}\\\\\rightarrow (25x-4)^{(16)/(2)}\\\\\text{Recall that: }a^{(b)/(c)}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }(16)/(2)=8

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Hope this helps you. I apologize if it’s incorrect.

User Mtelesha
by
4.9k points