Question

8/27 whole raised to 1/3

Answer 1

Given

We have

`((8)/(27))^{(1)/(3)}`

Required

we need to find its value

Step-by-step explanation

here we know that when basis are same powers are added

`((8)/(27))^{(1)/(3)}=((2*2*2)/(3*3*3))^{(1)/(3)}=((2^3)/(3^3))^{(1)/(3)}=\frac{2^{3*(1)/(3)}}{3^{3*(1)/(3)}}=(2)/(3)`

so the required answer is

`(2)/(3)`