Simplify (2/3x)^2

${(\frac{2}{3} x)}^{2}$

Step 1

Combine $\frac{2}{3}$ and $x$ .

${(\frac{2 x}{3})}^{2}$

Step 2

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

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

$\frac{{(2 x)}^{2}}{3^{2}}$

Apply the product rule to $2 x$ .

$\frac{2^{2} x^{2}}{3^{2}}$

Step 3

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

$\frac{4 x^{2}}{3^{2}}$

Step 4

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

$\frac{4 x^{2}}{9}$