Basic Math Examples

$\frac{3^{2}}{4 y} \div \frac{y}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3^{2}}{4 y} \cdot \frac{9}{y}$

Step 2

Combine.

$\frac{3^{2} \cdot 9}{4 y \cdot y}$

Step 3

Multiply $y$ by $y$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $y$ .

$\frac{3^{2} \cdot 9}{4 (y \cdot y)}$

Step 3.2

Multiply $y$ by $y$ .

$\frac{3^{2} \cdot 9}{4 y^{2}}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Rewrite $9$ as $3^{2}$ .

$\frac{3^{2} \cdot 3^{2}}{4 y^{2}}$

Step 4.2

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

$\frac{3^{2 + 2}}{4 y^{2}}$

Step 4.3

Add $2$ and $2$ .

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

Step 5

Raise $3$ to the power of $4$ .

$\frac{81}{4 y^{2}}$