Question

Which expression is equivalent to (x^4/3 x^2/3)^1/3?

Answer 1

The answer is B, x^2/3

Answer 2

Answer : The correct option is,
`x^{(2)/(3)}`

Step-by-step explanation :

The given expression is :

`(x^{(4)/(3)}* x^{(2)/(3)})^{(1)/(3)}`

First we have to solve the term present in the bracket.

Identity used :
`x^a* x^b=x^((a+b))`

`\Rightarrow (x^{((4)/(3)+(2)/(3))})^{(1)/(3)}`

By the adding the powers of 'x', we get:

`\Rightarrow (x^{(6)/(3)})^{(1)/(3)}`

`\Rightarrow (x^(2))^{(1)/(3)}`

Now we have to use identity
`(x^(a))^b=x^(ab)`, we get :

`\Rightarrow (x)^{(2* (1)/(3))}`

`\Rightarrow (x)^{(2)/(3)}`

Therefore, the correct option is,
`x^{(2)/(3)}`