Question

Using radicals, write an equivalent expression for the expression 2^1/3

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\\\\ 2^{(1)/(3)}\implies \sqrt[3]{2^1}\implies \sqrt[3]{2}`