Question

What is The product of four and the cube root of four in a expression?

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\\\\ 4\sqrt[3]{4}\implies 4\sqrt[3]{4^1}\implies 4^1\cdot 4^{(1)/(3)}\implies 4^{1+(1)/(3)}\implies 4^{(4)/(3)}\implies \sqrt[3]{4^4}\implies \sqrt[3]{256} ~\approx~ 6.35`