Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 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.

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Step 2.1

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

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $2$ and $1$ .

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

Step 2.4

Divide $3$ by $3$ .

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

Step 3

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

$- 3$