Question

Which is equivalent to ( a^2/3 b ^1/3) ^1/2

Answer 1

Answer E is correct

Explanation:

We know that,

`(x^ay^b)^c=x^a^cy^b^c`

Let us use the above to find the answer to this question.

Let us solve it now.

`(a^\frac{2}3} b^(1)/(3))^(1)/(2)`

`a^\frac{2}3}^*^ (1)/(2) *b^(1)/(3)^*^(1)/(2)`

`a^(2*1)/(3*2) * b^(1*1)/(3*2)`

`a^(2)/(6) * b^(1)/(6)`

Here, we can simplify the
`a^(2)/(6)` as
`a^(1)/(3)` by dividing the numerator and denominator by 2.

Therefore, the answer will be,

`a^(1)/(3) b^(1)/(6)`