The simplification that accurately explains the statement is shown below;
[tex]\begin{gathered} \sqrt[4]{2}=2^{\frac{1}{4}} \\ (2^{\frac{1}{4}})^4=2^{\frac{1}{4}}\times2^{\frac{1}{4}}\times2^{\frac{1}{4}}\times2^{\frac{1}{4}} \\ \text{Applying the law of indices of multiplying powers with the same base, we have} \\ 2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}=2^{\frac{4}{4}}=2^1=2 \end{gathered}[/tex]
Hence, the correct answer is option D
