Evaluate (-4/3)^2

${(- \frac{4}{3})}^{2}$

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

Apply the product rule to $- \frac{4}{3}$ .

${(- 1)}^{2} {(\frac{4}{3})}^{2}$

Apply the product rule to $\frac{4}{3}$ .

${(- 1)}^{2} \frac{4^{2}}{3^{2}}$

Raise $- 1$ to the power of $2$ .

$1 \frac{4^{2}}{3^{2}}$

Multiply $\frac{4^{2}}{3^{2}}$ by $1$ .

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

Raise $4$ to the power of $2$ .

$\frac{16}{3^{2}}$

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

$\frac{16}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{9}$

Decimal Form:

$1.\overline{7}$

Mixed Number Form:

$1 \frac{7}{9}$