Precalculus Examples

$\frac{2}{\frac{x^{2}}{\frac{10}{x^{5}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 \frac{\frac{10}{x^{5}}}{x^{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$2 (\frac{10}{x^{5}} \cdot \frac{1}{x^{2}})$

Step 3

Combine.

$2 \frac{10 \cdot 1}{x^{5} x^{2}}$

Step 4

Multiply $x^{5}$ by $x^{2}$ by adding the exponents.

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Step 4.1

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

$2 \frac{10 \cdot 1}{x^{5 + 2}}$

Step 4.2

Add $5$ and $2$ .

$2 \frac{10 \cdot 1}{x^{7}}$

Step 5

Multiply $10$ by $1$ .

$2 \frac{10}{x^{7}}$

Step 6

Multiply $2 \frac{10}{x^{7}}$ .

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Step 6.1

Combine $2$ and $\frac{10}{x^{7}}$ .

$\frac{2 \cdot 10}{x^{7}}$

Step 6.2

Multiply $2$ by $10$ .

$\frac{20}{x^{7}}$