Question

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

`~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ ~~ y^{(3)/(4)} ~~ }{y^{(1)/(2)}}\implies \cfrac{ ~~ y^{(3)/(4)}y^{-(1)/(2)} ~~ }{1}\implies y^{(3)/(4)-(1)/(2)}\implies y^{(1)/(4)}\implies \sqrt[4]{y^1}\implies {\Large \begin{array}{llll} \sqrt[4]{y} \end{array}}`