Question

Help!!!!

9xy x (2/3x)^3 =( ___ / ____)x^4y

Answer 1

`9xy\cdot\left((2)/(3)x\right)^3=9xy\cdot(2^3)/(3^3)x^3=9\cdot(8)/(27)\cdot xyx^3=(8)/(3)x^4y\\\\Used:\\\left((a)/(b)\right)^n=(a^n)/(b^n)\\\\(a\cdot b)^n=a^n\cdot b^n\\\\a^n\cdot a^m=a^(n+m)`

`\text{Answer:}\ \boxed{\left((8)/(3)\right)}`