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select the simplification that accurately explains the following statement\sqrt[4]{2} = {2}^{ (1)/(4) }
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15 votes
15 votes
select the simplification that accurately explains the following statement
\sqrt[4]{2} = {2}^{ (1)/(4) }

select the simplification that accurately explains the following statement\sqrt[4]{2} = {2}^{ (1)/(4) }-example-1
User Shirish Kadam
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6 votes
6 votes

\sqrt[4]{2}=2^{(1)/(4)}

Option B


\begin{gathered} 2^{(1)/(4)}=2^{(1)/(4)} \\ 2=(2^{(1)/(4)})^4=2^{(1)/(4)}\text{ }*2^{(1)/(4)}*2^{(1)/(4)}*2^{(1)/(4)}=2^{(1)/(4)+(1)/(4)\text{ +}(1)/(4)+(1)/(4)}=2^{(4)/(4)}=2^1=2 \end{gathered}

User Mahmoud Maghrabi
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