Algebra Examples

$\frac{11 {(- 8)}^{\frac{2}{3}}}{7}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $- 8$ as ${(- 2)}^{3}$ .

$\frac{11 {({(- 2)}^{3})}^{\frac{2}{3}}}{7}$

Step 1.2

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

$\frac{11 {(- 2)}^{3 (\frac{2}{3})}}{7}$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Cancel the common factor.

$\frac{11 {(- 2)}^{3 (\frac{2}{3})}}{7}$

Step 1.3.2

Rewrite the expression.

$\frac{11 {(- 2)}^{2}}{7}$

Step 1.4

Raise $- 2$ to the power of $2$ .

$\frac{11 \cdot 4}{7}$

Step 2

Multiply $11$ by $4$ .

$\frac{44}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{44}{7}$

Decimal Form:

$6.\overline{285714}$

Mixed Number Form:

$6 \frac{2}{7}$