Basic Math Examples

$\frac{1}{\frac{a^{7}}{\frac{1}{a^{4}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$1 \frac{\frac{1}{a^{4}}}{a^{7}}$

Step 2

Multiply $\frac{\frac{1}{a^{4}}}{a^{7}}$ by $1$ .

$\frac{\frac{1}{a^{4}}}{a^{7}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{a^{4}} \cdot \frac{1}{a^{7}}$

Step 4

Combine.

$\frac{1 \cdot 1}{a^{4} a^{7}}$

Step 5

Multiply $a^{4}$ by $a^{7}$ by adding the exponents.

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Step 5.1

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

$\frac{1 \cdot 1}{a^{4 + 7}}$

Step 5.2

Add $4$ and $7$ .

$\frac{1 \cdot 1}{a^{11}}$

Step 6

Multiply $1$ by $1$ .

$\frac{1}{a^{11}}$