Question

Which of the following is equal to square root of the cube root of 2?

2 to the power of 2 over 3

2 to the power of 3 over 2

2 to the power of 1 over 3

2 to the power of 1 over 6

Answer 1

Think of it this way

One by one:
cube root of 2 is 2^(1/3)

Then square root it so it's (2^(1/3))^(1/2) = 2^(1/3)(1/2) = 2^(1/6)!

therefore the answer is D

Answer 2

thank you