Question

Using radiclas, write equivalent expression for the expression y to the power of 2 1/3

Answer 1

`\large\boxed{y^{2(1)/(3)}=y^2\sqrt[3]y}`

Explanation:

`y^{2(1)/(3)}\\\\\text{use}\ a^n\cdot a^m=a^(n+m)\\\\=y^{2+(1)/(3)}=y^2\cdot y^(1)/(3)\\\\\text{use}\ a^(1)/(n)=\sqrt[n]{a}\\\\=y^2\sqrt[3]y`