Simplify ((6c)/7)^-2

${(\frac{6 c}{7})}^{- 2}$

Step 1

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

${(\frac{7}{6 c})}^{2}$

Step 2

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

Apply the product rule to $\frac{7}{6 c}$ .

$\frac{7^{2}}{{(6 c)}^{2}}$

Apply the product rule to $6 c$ .

$\frac{7^{2}}{6^{2} c^{2}}$

Step 3

Raise $7$ to the power of $2$ .

$\frac{49}{6^{2} c^{2}}$

Step 4

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

$\frac{49}{36 c^{2}}$