Algebra Examples

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

Step 1

Simplify the denominator.

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Step 1.1

Rewrite $- 1$ as ${(- 1)}^{3}$ .

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

Step 1.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Cancel the common factor.

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

Step 1.3.2

Rewrite the expression.

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

Step 1.4

Evaluate the exponent.

$\frac{2}{3 \cdot - 1}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $3$ by $- 1$ .

$\frac{2}{- 3}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$