Algebra Examples

$\frac{3}{4 x^{3}} \div \frac{10 x}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4 x^{3}} \cdot \frac{3}{10 x}$

Step 2

Combine.

$\frac{3 \cdot 3}{4 x^{3} (10 x)}$

Step 3

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

Tap for more steps...

Step 3.1

Move $x$ .

$\frac{3 \cdot 3}{4 (x \cdot x^{3}) \cdot 10}$

Step 3.2

Multiply $x$ by $x^{3}$ .

Tap for more steps...

Step 3.2.1

Raise $x$ to the power of $1$ .

$\frac{3 \cdot 3}{4 (x^{1} x^{3}) \cdot 10}$

Step 3.2.2

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

$\frac{3 \cdot 3}{4 x^{1 + 3} \cdot 10}$

Step 3.3

Add $1$ and $3$ .

$\frac{3 \cdot 3}{4 x^{4} \cdot 10}$

Step 4

Multiply $3$ by $3$ .

$\frac{9}{4 x^{4} \cdot 10}$

Step 5

Multiply $10$ by $4$ .

$\frac{9}{40 x^{4}}$