Basic Math Examples

$\frac{m^{4} m^{- 2}}{{(m^{- 1})}^{- 2}}$

Step 1

Multiply $m^{4}$ by $m^{- 2}$ by adding the exponents.

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Step 1.1

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

$\frac{m^{4 - 2}}{{(m^{- 1})}^{- 2}}$

Step 1.2

Subtract $2$ from $4$ .

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

Step 2

Move ${(m^{- 1})}^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$m^{2} {(m^{- 1})}^{2}$

Step 3

Multiply the exponents in ${(m^{- 1})}^{2}$ .

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Step 3.1

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

$m^{2} m^{- 1 \cdot 2}$

Step 3.2

Multiply $- 1$ by $2$ .

$m^{2} m^{- 2}$

Step 4

Multiply $m^{2}$ by $m^{- 2}$ by adding the exponents.

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Step 4.1

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

$m^{2 - 2}$

Step 4.2

Subtract $2$ from $2$ .

$m^{0}$

Step 5

Simplify $m^{0}$ .

$1$