Find the Exact Value (-3/4)^3

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

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

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

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

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

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

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

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

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

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

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

$- \frac{27}{64}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{64}$

Decimal Form:

$- 0.421875$