Question

Convert the following expression from a rational expression to a radical expression.
(7x)^2/3

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\\\\ (7x)^{(2)/(3)}\implies \sqrt[3]{(7x)^2}\implies \sqrt[3]{7^2x^2}\implies \sqrt[3]{49x^2}`