Evaluate ((-t)/3)^2

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

Step 1

Move the negative in front of the fraction.

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

Step 2

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

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

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

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

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

Step 3

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

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

Step 4

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

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

Step 5

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

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