Basic Math Examples

$a^{\frac{11}{12}} a^{- \frac{1}{3}}$

Step 1

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

$a^{\frac{11}{12} - \frac{1}{3}}$

Step 2

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$a^{\frac{11}{12} - \frac{1}{3} \cdot \frac{4}{4}}$

Step 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$a^{\frac{11}{12} - \frac{4}{3 \cdot 4}}$

Step 3.2

Multiply $3$ by $4$ .

$a^{\frac{11}{12} - \frac{4}{12}}$

Step 4

Combine the numerators over the common denominator.

$a^{\frac{11 - 4}{12}}$

Step 5

Subtract $4$ from $11$ .

$a^{\frac{7}{12}}$