Algebra Examples

$\frac{4}{9 x} \cdot \frac{5}{3 x}$

Step 1

Multiply $\frac{4}{9 x}$ by $\frac{5}{3 x}$ .

$\frac{4 \cdot 5}{9 x (3 x)}$

Step 2

Multiply $4$ by $5$ .

$\frac{20}{9 x (3 x)}$

Step 3

Multiply $3$ by $9$ .

$\frac{20}{27 x \cdot x}$

Step 4

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

$\frac{20}{27 (x^{1} x)}$

Step 5

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

$\frac{20}{27 (x^{1} x^{1})}$

Step 6

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

$\frac{20}{27 x^{1 + 1}}$

Step 7

Add $1$ and $1$ .

$\frac{20}{27 x^{2}}$