Question

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

Answer 1

Answer: 23692929

Step-by-step explanation:

Answer 2

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

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