Basic Math Examples

$a^{\frac{13}{14}} (a^{\frac{2}{1}})$

Step 1

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

$a^{\frac{13}{14} + \frac{2}{1}}$

Step 2

Divide $2$ by $1$ .

$a^{\frac{13}{14} + 2}$

Step 3

To write $2$ as a fraction with a common denominator, multiply by $\frac{14}{14}$ .

$a^{\frac{13}{14} + 2 \cdot \frac{14}{14}}$

Step 4

Combine $2$ and $\frac{14}{14}$ .

$a^{\frac{13}{14} + \frac{2 \cdot 14}{14}}$

Step 5

Combine the numerators over the common denominator.

$a^{\frac{13 + 2 \cdot 14}{14}}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $2$ by $14$ .

$a^{\frac{13 + 28}{14}}$

Step 6.2

Add $13$ and $28$ .

$a^{\frac{41}{14}}$