Basic Math Examples

${(- 11)}^{2} {(- 11)}^{\frac{3}{4}}$

Step 1

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

${(- 11)}^{2 + \frac{3}{4}}$

Step 2

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

${(- 11)}^{2 \cdot \frac{4}{4} + \frac{3}{4}}$

Step 3

Combine $2$ and $\frac{4}{4}$ .

${(- 11)}^{\frac{2 \cdot 4}{4} + \frac{3}{4}}$

Step 4

Combine the numerators over the common denominator.

${(- 11)}^{\frac{2 \cdot 4 + 3}{4}}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $4$ .

${(- 11)}^{\frac{8 + 3}{4}}$

Step 5.2

Add $8$ and $3$ .

${(- 11)}^{\frac{11}{4}}$