help

Which expression is equivalent to \([\frac{4^{\frac{5}{4}}\cdot \ 4^{\frac{1}{4}} }{4^{\frac{1}{2}}}]^{\frac{1}{2}} \) ?

Hello Guest!

\([\frac{4^{\frac{5}{4}}\cdot \ 4^{\frac{1}{4}} }{4^{\frac{2}{4}}}]^{\frac{1}{2}}=(4^{\frac{5+1-2}{4}})^{\frac{1}{2}}=4^{\frac{1}{2}}=\color{blue}2\)

  !