Basic Math Examples

$512 m b \cdot \frac{m b}{1024}$

Step 1

Cancel the common factor of $512$ .

Tap for more steps...

Step 1.1

Factor $512$ out of $512 m b$ .

$512 (m b) \cdot \frac{m b}{1024}$

Step 1.2

Factor $512$ out of $1024$ .

$512 (m b) \cdot \frac{m b}{512 (2)}$

Step 1.3

Cancel the common factor.

$512 (m b) \cdot \frac{m b}{512 \cdot 2}$

Step 1.4

Rewrite the expression.

$m b \cdot \frac{m b}{2}$

Step 2

Combine $m$ and $\frac{m b}{2}$ .

$b \cdot \frac{m (m b)}{2}$

Step 3

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

$b \cdot \frac{m^{1} m b}{2}$

Step 4

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

$b \cdot \frac{m^{1} m^{1} b}{2}$

Step 5

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

$b \cdot \frac{m^{1 + 1} b}{2}$

Step 6

Add $1$ and $1$ .

$b \cdot \frac{m^{2} b}{2}$

Step 7

Combine $b$ and $\frac{m^{2} b}{2}$ .

$\frac{b (m^{2} b)}{2}$

Step 8

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

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

Step 9

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

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

Step 10

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

$\frac{b^{1 + 1} m^{2}}{2}$

Step 11

Add $1$ and $1$ .

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