Simplify (3/(4x^3))÷((10x)/3)

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

To divide by a fraction, multiply by its reciprocal.

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

Combine.

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

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

Move $x$ .

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

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

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

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

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

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

Add $1$ and $3$ .

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

Multiply $3$ by $3$ .

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

Multiply $10$ by $4$ .

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