Question

Convert the expression (√5)(∛5) to exponential form. Show your work.

Answer 1

`{5}^{ (5)/(6)}`

Explanation:

`( √(5) )( \sqrt[3]{5}) \\ \\ = ({5}^{ (1)/(2) } ).({5}^{ (1)/(3) } ) \\ \\ = {5}^{ (1)/(2) + (1)/(3) } \\ \\ = {5}^{ (3 + 2)/(2 * 3)} \\ \\ \huge \red{ \boxed{ = {5}^{ (5)/(6)} }}`