Basic Math Examples

${(- 2 m)}^{3} \div 4 m^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{{(- 2 m)}^{3}}{4 m^{2}}$

Step 2

Simplify the numerator.

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Step 2.1

Apply the product rule to $- 2 m$ .

$\frac{{(- 2)}^{3} m^{3}}{4 m^{2}}$

Step 2.2

Raise $- 2$ to the power of $3$ .

$\frac{- 8 m^{3}}{4 m^{2}}$

$\frac{- 8 m^{3}}{4 m^{2}}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $- 8$ and $4$ .

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Step 3.1.1

Factor $4$ out of $- 8 m^{3}$ .

$\frac{4 (- 2 m^{3})}{4 m^{2}}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $4$ out of $4 m^{2}$ .

$\frac{4 (- 2 m^{3})}{4 (m^{2})}$

Step 3.1.2.2

Cancel the common factor.

$\frac{4 (- 2 m^{3})}{4 m^{2}}$

Step 3.1.2.3

Rewrite the expression.

$\frac{- 2 m^{3}}{m^{2}}$

$\frac{- 2 m^{3}}{m^{2}}$

$\frac{- 2 m^{3}}{m^{2}}$

Step 3.2

Cancel the common factor of $m^{3}$ and $m^{2}$ .

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Step 3.2.1

Factor $m^{2}$ out of $- 2 m^{3}$ .

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

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Multiply by $1$ .

$\frac{m^{2} (- 2 m)}{m^{2} \cdot 1}$

Step 3.2.2.2

Cancel the common factor.

$\frac{m^{2} (- 2 m)}{m^{2} \cdot 1}$

Step 3.2.2.3

Rewrite the expression.

$\frac{- 2 m}{1}$

Step 3.2.2.4

Divide $- 2 m$ by $1$ .

$- 2 m$

$- 2 m$

$- 2 m$

$- 2 m$

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