Basic Math Examples

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

Step 1

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

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Step 1.1

Factor $m$ out of ${(m^{2})}^{2} m$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

Multiply the exponents in ${(m^{2})}^{2}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 2.2

Multiply $2$ by $2$ .

$\frac{m^{4}}{m}$

$\frac{m^{4}}{m}$

Step 3

Cancel the common factor of $m^{4}$ and $m$ .

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Step 3.1

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

$\frac{m \cdot m^{3}}{m}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{m \cdot m^{3}}{m^{1}}$

Step 3.2.2

Factor $m$ out of $m^{1}$ .

$\frac{m \cdot m^{3}}{m \cdot 1}$

Step 3.2.3

Cancel the common factor.

$\frac{m \cdot m^{3}}{m \cdot 1}$

Step 3.2.4

Rewrite the expression.

$\frac{m^{3}}{1}$

Step 3.2.5

Divide $m^{3}$ by $1$ .

$m^{3}$

$m^{3}$

$m^{3}$

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