Simplify (x/(2w))^6

${(\frac{x}{2 w})}^{6}$

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

Apply the product rule to $\frac{x}{2 w}$ .

$\frac{x^{6}}{{(2 w)}^{6}}$

Apply the product rule to $2 w$ .

$\frac{x^{6}}{2^{6} w^{6}}$

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

$\frac{x^{6}}{64 w^{6}}$