Algebra Examples

{(- 27)}^{\frac{2}{3}}

${(- 27)}^{\frac{2}{3}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite

- 27

$- 27$ as

{(- 3)}^{3}

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

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

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

Step 1.2

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

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

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

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

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

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

${(- 3)}^{2}$

${(- 3)}^{2}$

Step 3

Raise

$- 3$ to the power of

$2$ .

$9$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$