Simplify (6/(7C))^2

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

Step 1

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

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

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

Apply the product rule to $7 C$ .

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

Step 2

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

$\frac{36}{7^{2} C^{2}}$

Step 3

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

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