Simplify (-3)^(1/3)(-3)^(1/3)(-3)^(1/3)

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

Step 1

Multiply ${(- 3)}^{\frac{1}{3}}$ by ${(- 3)}^{\frac{1}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Combine the numerators over the common denominator.

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

Add $1$ and $1$ .

${(- 3)}^{\frac{2}{3}} {(- 3)}^{\frac{1}{3}}$

Step 2

Multiply ${(- 3)}^{\frac{2}{3}}$ by ${(- 3)}^{\frac{1}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(- 3)}^{\frac{2}{3} + \frac{1}{3}}$

Combine the numerators over the common denominator.

${(- 3)}^{\frac{2 + 1}{3}}$

Add $2$ and $1$ .

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

Divide $3$ by $3$ .

${(- 3)}^{1}$

Step 3

Simplify ${(- 3)}^{1}$ .

$- 3$