Question

Write in the form a to the power of k, where a is a prime number and k is rational


`\sqrt[4]{27}`

Answer 1

`{ \tt{27 = {3}^(3) }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ (1)/(4) } \\ { \tt{ = {3}^{3( (1)/(4)) } }} \\ = { \tt{ {3}^{ (3)/(4) } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = (3)/(4) }}}`