Question

I forgot the steps to [(2/3)^2•(2/3)^-1]^3

Answer 1

`\left[\left((2)/(3)\right)^2\cdot\left((2)/(3)\right)^(-1)\right]^3=\left[\left((2)/(3)\right)^(2+(-1))\right]^3\\\\=\left[\left((2)/(3)\right)^1\right]^3=\left((2)/(3)\right)^3=(2^3)/(3^3)=(8)/(27)\\\\Used:\\\\a^n\cdot a^m=a^(n+m)\\\\\left((a)/(b)\right)^n=(a^n)/(b^n)`