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21 votes
21 votes
Help me please i don’t know how to find the answer

Help me please i don’t know how to find the answer-example-1
User Yasser Souri
by
3.0k points

1 Answer

27 votes
27 votes

The simplification that accurately explains the statement is shown below;


\begin{gathered} \sqrt[4]{2}=2^{(1)/(4)} \\ (2^{(1)/(4)})^4=2^{(1)/(4)}*2^{(1)/(4)}*2^{(1)/(4)}*2^{(1)/(4)} \\ \text{Applying the law of indices of multiplying powers with the same base, we have} \\ 2^{(1)/(4)+(1)/(4)+(1)/(4)+(1)/(4)}=2^{(4)/(4)}=2^1=2 \end{gathered}

Hence, the correct answer is option D

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