Question

Anyone want a Medal?

Which of the following is equal to the square root of the cube root of 6?

6 to the power of 1 over 6

6 to the power of 1 over 3

6 to the power of 2 over 3

6 to the power of 3 over 2

Answer 1

cube root of 6
=\[6^{1/3}\]

Answer 2

and its square root
=\[(6^{1/3})^{1/2}\]

Answer 3

now (a^m)^n=a^mn

Answer 4

so the solution is 6^(1/3*1/2)=6^(1/6)

Answer 5

Thanks!