Basic Math Examples

${(m^{5})}^{2} m \div m^{5}$

Step 1

Rewrite the division as a fraction.

$\frac{{(m^{5})}^{2} m}{m^{5}}$

Step 2

Cancel the common factor of $m$ and $m^{5}$ .

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Step 2.1

Factor $m$ out of ${(m^{5})}^{2} m$ .

$\frac{m {(m^{5})}^{2}}{m^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $m$ out of $m^{5}$ .

$\frac{m {(m^{5})}^{2}}{m \cdot m^{4}}$

Step 2.2.2

Cancel the common factor.

$\frac{m {(m^{5})}^{2}}{m \cdot m^{4}}$

Step 2.2.3

Rewrite the expression.

$\frac{{(m^{5})}^{2}}{m^{4}}$

Step 3

Multiply the exponents in ${(m^{5})}^{2}$ .

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Step 3.1

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

$\frac{m^{5 \cdot 2}}{m^{4}}$

Step 3.2

Multiply $5$ by $2$ .

$\frac{m^{10}}{m^{4}}$

Step 4

Cancel the common factor of $m^{10}$ and $m^{4}$ .

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Step 4.1

Factor $m^{4}$ out of $m^{10}$ .

$\frac{m^{4} m^{6}}{m^{4}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{m^{4} m^{6}}{m^{4} \cdot 1}$

Step 4.2.2

Cancel the common factor.

$\frac{m^{4} m^{6}}{m^{4} \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{m^{6}}{1}$

Step 4.2.4

Divide $m^{6}$ by $1$ .

$m^{6}$