Question

Simplify.
4^√2(√2)^2

Answer 1

Are you familiar with rewriting stuff with rational exponents?
Example:\[\Large\rm \sqrt{x}=x^{1/2}\]

Answer 2

umm..no..:(

Answer 3

\[\Large\rm \sqrt[4]{2}\left(\color{orangered}{\sqrt{2}}\right)^2\]We could apply that here:\[\Large\rm \sqrt[4]{2}\left(\color{orangered}{2^{1/2}}\right)^2\]And here:\[\Large\rm \color{orangered}{\sqrt[4]{2}}\left(2^{1/2}\right)^2=\color{orangered}{2^{1/4}}\left(2^{1/2}\right)^2\]

Answer 4

And apply some exponent rules to simplify.