Question

What is an equivalent expression (m ^1/3)^ 1/5

*the fractions are powers btw*

Answer 1

`\bf ~\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] \rule{34em}{0.25pt}\\\\ \left( m^{(1)/(3)} \right)^{(1)/(5)}\implies m^{(1)/(3)\cdot (1)/(5)}\implies m^{(1)/(15)}\implies \sqrt[15]{m^1}\implies \sqrt[15]{m}`