Simplify -((2a)/(3y))^2

$- {(\frac{2 a}{3 y})}^{2}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $\frac{2 a}{3 y}$ .

$- \frac{{(2 a)}^{2}}{{(3 y)}^{2}}$

Apply the product rule to $2 a$ .

$- \frac{2^{2} a^{2}}{{(3 y)}^{2}}$

Apply the product rule to $3 y$ .

$- \frac{2^{2} a^{2}}{3^{2} y^{2}}$

Step 2

Raise $2$ to the power of $2$ .

$- \frac{4 a^{2}}{3^{2} y^{2}}$

Step 3

Raise $3$ to the power of $2$ .

$- \frac{4 a^{2}}{9 y^{2}}$