Simplify (-4/3)^3

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

Step 1

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

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

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

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

$- \frac{64}{27}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{64}{27}$

Decimal Form:

$- 2.\overline{370}$

Mixed Number Form:

$- 2 \frac{10}{27}$