Question

What is the exponential form of ³√27a⁵?

Answer 1

Answer:

${ \tt{ \sqrt[3]{27 {a}^{5} } }} \\ \\ = { \rm{( {3}^{3} {a}^{5}) }^{ \frac{1}{3} } } \\ \\ = { \rm{( {3}^{3} ) {}^{ \frac{1}{3} }( {a}^{5}) {}^{ \frac{1}{3} } }} \\ \\ = { \boxed{ \boxed{ \tt{ \: \hookrightarrow \: 3 {a}^{ \frac{5}{3} } \: \hookleftarrow}}}}$