Question

Which of the following is equal to square root of the cube root of 5?

5 to the power of 1 over 3
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 3 over 2

Answer 1

\[\sqrt{\sqrt[3]{5}}\]
\[((5)^\frac{ 1 }{ 3 })^\frac{ 1 }{ 2 } = (5)^{\frac{ 1 }{ 3 }*\frac{ 1 }{2 }}\]

Answer 2

i'm not sure how to solve that...? @sangya21

Answer 3

\[\frac{ 1 }{ 3 }* \frac{ 1 }{ 2 } = \frac{ 1 }{ 3*2 } = \frac{ 1 }{ 6 }\]
\[5^\frac{ 1 }{ 6 }\]

Answer 4

oh, thank you !

Answer 5

Anytime :)