# How do you simplify ((4x)/(3y))^2?

Apr 2, 2015

The answer is $\frac{16 {x}^{2}}{9 {y}^{2}}$.

${\left(\frac{4 x}{3 y}\right)}^{2} =$

Square the contents of both the numerator and denominator.

${\left(4 x\right)}^{2} = 16 {x}^{2}$

${\left(3 x\right)}^{2} = 9 {y}^{2}$

${\left(\frac{4 x}{3 y}\right)}^{2} = \frac{16 {x}^{2}}{9 {y}^{2}}$