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Evaluate (-8/9)^2

${(- \frac{8}{9})}^{2}$

Step 1

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

Apply the product rule to $- \frac{8}{9}$ .

${(- 1)}^{2} {(\frac{8}{9})}^{2}$

Apply the product rule to $\frac{8}{9}$ .

${(- 1)}^{2} \frac{8^{2}}{9^{2}}$

${(- 1)}^{2} \frac{8^{2}}{9^{2}}$

Step 2

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

$1 \frac{8^{2}}{9^{2}}$

Step 3

Multiply $\frac{8^{2}}{9^{2}}$ by $1$ .

$\frac{8^{2}}{9^{2}}$

Step 4

Raise $8$ to the power of $2$ .

$\frac{64}{9^{2}}$

Step 5

Raise $9$ to the power of $2$ .

$\frac{64}{81}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{81}$

Decimal Form:

$0.79012345 \dots$

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