Simplify ((5x^3)/3)÷(7/(4x))

$\frac{5 x^{3}}{3} \div \frac{7}{4 x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5 x^{3}}{3} \cdot \frac{4 x}{7}$

Step 2

Combine.

$\frac{5 x^{3} (4 x)}{3 \cdot 7}$

Step 3

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

Move $x$ .

$\frac{5 (x \cdot x^{3}) \cdot 4}{3 \cdot 7}$

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

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

$\frac{5 (x^{1} x^{3}) \cdot 4}{3 \cdot 7}$

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

$\frac{5 x^{1 + 3} \cdot 4}{3 \cdot 7}$

Add $1$ and $3$ .

$\frac{5 x^{4} \cdot 4}{3 \cdot 7}$

Step 4

Multiply $4$ by $5$ .

$\frac{20 x^{4}}{3 \cdot 7}$

Step 5

Multiply $3$ by $7$ .

$\frac{20 x^{4}}{21}$