Simplify (-6/d)^-2

${(- \frac{6}{d})}^{- 2}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(- \frac{d}{6})}^{2}$

Step 2

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

Apply the product rule to $- \frac{d}{6}$ .

${(- 1)}^{2} {(\frac{d}{6})}^{2}$

Apply the product rule to $\frac{d}{6}$ .

${(- 1)}^{2} \frac{d^{2}}{6^{2}}$

Step 3

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

$1 \frac{d^{2}}{6^{2}}$

Step 4

Multiply $\frac{d^{2}}{6^{2}}$ by $1$ .

$\frac{d^{2}}{6^{2}}$

Step 5

Raise $6$ to the power of $2$ .

$\frac{d^{2}}{36}$