Simplify (1/4gh)^3

${(\frac{1}{4} g h)}^{3}$

Multiply $\frac{1}{4} (g h)$ .

Combine $g$ and $\frac{1}{4}$ .

${(\frac{g}{4} h)}^{3}$

Combine $\frac{g}{4}$ and $h$ .

${(\frac{g h}{4})}^{3}$

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

Apply the product rule to $\frac{g h}{4}$ .

$\frac{{(g h)}^{3}}{4^{3}}$

Apply the product rule to $g h$ .

$\frac{g^{3} h^{3}}{4^{3}}$

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

$\frac{g^{3} h^{3}}{64}$