Which expression is equivalent

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and and the cube root of two is the same as . Therefore, we can rewrite the expression:

Now, to write them as one power of two, we can use the quotient rule which states, :

We just need to subtract 1/3 from 1/2 to get:

This is the same as the 6th root of 2, which is the second option.

i think the answer is true

step-by-step explanation: