Question

Which expression is equivalent to (x 4/3 x2/3) ^1/3

Answer 1

`\large\boxed{x^(2)/(3)}`

Explanation:

`\left(x^(4)/(3)x^(2)/(3)\right)^(1)/(3)\qquad\text{use}\ a^na^m=a^(n+m)\\\\=\left(x^{(4)/(3)+(2)/(3)}\right)^(1)/(3)=\left(x^{(6)/(3)\right)^(1)/(3)=(x^2)^(1)/(3)\qquad\text{use}\ (a^n)^m=a^(nm)\\\\=x^{(2)\left((1)/(3)\right)}=x^(2)/(3)`