How do you simplify ((3x)/(y^(1/3)))^3 without any fractions in the answer?

Mar 29, 2018

$27 {x}^{3} {y}^{- 1}$

Explanation:

${\left(\frac{3 x}{{y}^{\frac{1}{3}}}\right)}^{3}$

$\frac{{\left(3 x\right)}^{3}}{{\left({y}^{\frac{1}{3}}\right)}^{3}}$

$\frac{{3}^{3} {x}^{3}}{y}$

$\frac{27 {x}^{3}}{y}$

$27 {x}^{3} {y}^{- 1}$