Algebra Examples

${({(- 5)}^{\frac{2}{3}})}^{\frac{3}{4}}$

Step 1

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

${(- 5)}^{\frac{2}{3} \cdot \frac{3}{4}}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

${(- 5)}^{\frac{2}{3} \cdot \frac{3}{2 (2)}}$

Step 2.2

Cancel the common factor.

${(- 5)}^{\frac{2}{3} \cdot \frac{3}{2 \cdot 2}}$

Step 2.3

Rewrite the expression.

${(- 5)}^{\frac{1}{3} \cdot \frac{3}{2}}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Cancel the common factor.

${(- 5)}^{\frac{1}{3} \cdot \frac{3}{2}}$

Step 3.2

Rewrite the expression.

${(- 5)}^{\frac{1}{2}}$