Question

Rewrite the following expression. x^10/3

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\\\\ x^{(10)/(3)}\implies \sqrt[3]{x^(10)}\implies \sqrt[3]{x^(3\cdot 3+1)}\implies \sqrt[3]{(x^3)^3 x}\implies x^3\sqrt[3]{x}`