Simplify (-3/(4c))^3

${(- \frac{3}{4 c})}^{3}$

Step 1

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

Apply the product rule to $- \frac{3}{4 c}$ .

${(- 1)}^{3} {(\frac{3}{4 c})}^{3}$

Apply the product rule to $\frac{3}{4 c}$ .

${(- 1)}^{3} \frac{3^{3}}{{(4 c)}^{3}}$

Apply the product rule to $4 c$ .

${(- 1)}^{3} \frac{3^{3}}{4^{3} c^{3}}$

Step 2

Raise $- 1$ to the power of $3$ .

$- \frac{3^{3}}{4^{3} c^{3}}$

Step 3

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

$- \frac{27}{4^{3} c^{3}}$

Step 4

Raise $4$ to the power of $3$ .

$- \frac{27}{64 c^{3}}$