Question

select the simplification that accurately explains the following statement$\sqrt[4]{2} = {2}^{ \frac{1}{4} }$

Answer 1

$\sqrt[4]{2}=2^{\frac{1}{4}}$

Option B

$\begin{gathered} 2^{\frac{1}{4}}=2^{\frac{1}{4}} \\ 2=(2^{\frac{1}{4}})^4=2^{\frac{1}{4}}\text{ }\times2^{\frac{1}{4}}\times2^{\frac{1}{4}}\times2^{\frac{1}{4}}=2^{\frac{1}{4}+\frac{1}{4}\text{ +}\frac{1}{4}+\frac{1}{4}}=2^{\frac{4}{4}}=2^1=2 \end{gathered}$