Basic Math Examples

$\frac{5 a}{- 2 b} \cdot \frac{- 2 a}{5}$

Step 1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.1

Factor $5$ out of $5 a$ .

$\frac{5 (a)}{- 2 b} \cdot \frac{- 2 a}{5}$

Step 1.2

Cancel the common factor.

$\frac{5 a}{- 2 b} \cdot \frac{- 2 a}{5}$

Step 1.3

Rewrite the expression.

$\frac{a}{- 2 b} \cdot (- 2 a)$

$\frac{a}{- 2 b} \cdot (- 2 a)$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $- 2 b$ .

$\frac{a}{2 (- b)} \cdot (- 2 a)$

Step 2.2

Factor $2$ out of $- 2 a$ .

$\frac{a}{2 (- b)} \cdot (2 (- a))$

Step 2.3

Cancel the common factor.

$\frac{a}{2 (- b)} \cdot (2 (- a))$

Step 2.4

Rewrite the expression.

$\frac{a}{- b} \cdot (- a)$

$\frac{a}{- b} \cdot (- a)$

Step 3

Combine $\frac{a}{- b}$ and $a$ .

$- \frac{a \cdot a}{- b}$

Step 4

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

$- \frac{a^{1} a}{- b}$

Step 5

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

$- \frac{a^{1} a^{1}}{- b}$

Step 6

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

$- \frac{a^{1 + 1}}{- b}$

Step 7

Add $1$ and $1$ .

$- \frac{a^{2}}{- b}$

Step 8

Move the negative in front of the fraction.

$- - \frac{a^{2}}{b}$

Step 9

Multiply $- - \frac{a^{2}}{b}$ .

Tap for more steps...

Step 9.1

Multiply $- 1$ by $- 1$ .

$1 \frac{a^{2}}{b}$

Step 9.2

Multiply $\frac{a^{2}}{b}$ by $1$ .

$\frac{a^{2}}{b}$

$\frac{a^{2}}{b}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$