Algebra Examples

$\frac{7 x + 9}{9 x - 7} \cdot \frac{9 x}{9 x - 7}$

Step 1

Multiply $\frac{7 x + 9}{9 x - 7} \cdot \frac{9 x}{9 x - 7}$ .

Tap for more steps...

Step 1.1

Multiply $\frac{7 x + 9}{9 x - 7}$ by $\frac{9 x}{9 x - 7}$ .

$\frac{(7 x + 9) (9 x)}{(9 x - 7) (9 x - 7)}$

Step 1.2

Raise $9 x - 7$ to the power of $1$ .

$\frac{(7 x + 9) (9 x)}{{(9 x - 7)}^{1} (9 x - 7)}$

Step 1.3

Raise $9 x - 7$ to the power of $1$ .

$\frac{(7 x + 9) (9 x)}{{(9 x - 7)}^{1} {(9 x - 7)}^{1}}$

Step 1.4

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

$\frac{(7 x + 9) (9 x)}{{(9 x - 7)}^{1 + 1}}$

Step 1.5

Add $1$ and $1$ .

$\frac{(7 x + 9) (9 x)}{{(9 x - 7)}^{2}}$

Step 2

Move $9$ to the left of $7 x + 9$ .

$\frac{9 \cdot (7 x + 9) x}{{(9 x - 7)}^{2}}$

Step 3

Reorder factors in $\frac{9 (7 x + 9) x}{{(9 x - 7)}^{2}}$ .

$\frac{9 x (7 x + 9)}{{(9 x - 7)}^{2}}$