Pre-Algebra Examples

$77 x^{5} \div \frac{13}{11 x^{3}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$77 x^{5} \frac{11 x^{3}}{13}$

Step 2

Multiply $77 x^{5} \frac{11 x^{3}}{13}$ .

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Step 2.1

Combine $77$ and $\frac{11 x^{3}}{13}$ .

$x^{5} \frac{77 (11 x^{3})}{13}$

Step 2.2

Multiply $11$ by $77$ .

$x^{5} \frac{847 x^{3}}{13}$

Step 2.3

Combine $x^{5}$ and $\frac{847 x^{3}}{13}$ .

$\frac{x^{5} (847 x^{3})}{13}$

Step 2.4

Multiply $x^{5}$ by $x^{3}$ by adding the exponents.

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Step 2.4.1

Move $x^{3}$ .

$\frac{x^{3} x^{5} \cdot 847}{13}$

Step 2.4.2

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

$\frac{x^{3 + 5} \cdot 847}{13}$

Step 2.4.3

Add $3$ and $5$ .

$\frac{x^{8} \cdot 847}{13}$

Step 3

Move $847$ to the left of $x^{8}$ .

$\frac{847 x^{8}}{13}$