Algebra Examples

$\frac{4 f^{2}}{3} \div \frac{1}{4 f}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 f^{2}}{3} (4 f)$

Step 2

Rewrite using the commutative property of multiplication.

$4 \frac{4 f^{2}}{3} f$

Step 3

Multiply $4 \frac{4 f^{2}}{3}$ .

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Step 3.1

Combine $4$ and $\frac{4 f^{2}}{3}$ .

$\frac{4 (4 f^{2})}{3} f$

Step 3.2

Multiply $4$ by $4$ .

$\frac{16 f^{2}}{3} f$

Step 4

Multiply $\frac{16 f^{2}}{3} f$ .

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Step 4.1

Combine $\frac{16 f^{2}}{3}$ and $f$ .

$\frac{16 f^{2} f}{3}$

Step 4.2

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

$\frac{16 (f^{1} f^{2})}{3}$

Step 4.3

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

$\frac{16 f^{1 + 2}}{3}$

Step 4.4

Add $1$ and $2$ .

$\frac{16 f^{3}}{3}$