Algebra Examples

$(36 x) \frac{1}{2} (49 x) \frac{1}{2}$

Step 1

Combine $36$ and $\frac{1}{2}$ .

$x \frac{36}{2} (49 x) \frac{1}{2}$

Step 2

Combine $x$ and $\frac{36}{2}$ .

$\frac{x \cdot 36}{2} (49 x) \frac{1}{2}$

Step 3

Combine $49$ and $\frac{x \cdot 36}{2}$ .

$\frac{49 (x \cdot 36)}{2} x \frac{1}{2}$

Step 4

Multiply $36$ by $49$ .

$\frac{1764 x}{2} x \frac{1}{2}$

Step 5

Combine $\frac{1764 x}{2}$ and $x$ .

$\frac{1764 x \cdot x}{2} \cdot \frac{1}{2}$

Step 6

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

$\frac{1764 (x^{1} x)}{2} \cdot \frac{1}{2}$

Step 7

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

$\frac{1764 (x^{1} x^{1})}{2} \cdot \frac{1}{2}$

Step 8

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

$\frac{1764 x^{1 + 1}}{2} \cdot \frac{1}{2}$

Step 9

Add $1$ and $1$ .

$\frac{1764 x^{2}}{2} \cdot \frac{1}{2}$

Step 10

Multiply $\frac{1764 x^{2}}{2}$ by $\frac{1}{2}$ .

$\frac{1764 x^{2}}{2 \cdot 2}$

Step 11

Multiply $2$ by $2$ .

$\frac{1764 x^{2}}{4}$