Algebra Examples

$\frac{3 x^{3}}{7} \div \frac{4}{7 x^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x^{3}}{7} \cdot \frac{7 x^{2}}{4}$

Step 2

Combine.

$\frac{3 x^{3} (7 x^{2})}{7 \cdot 4}$

Step 3

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Step 3.1

Move $x^{2}$ .

$\frac{3 (x^{2} x^{3}) \cdot 7}{7 \cdot 4}$

Step 3.2

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

$\frac{3 x^{2 + 3} \cdot 7}{7 \cdot 4}$

Step 3.3

Add $2$ and $3$ .

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

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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