Basic Math Examples

$m^{- 4} m^{9} m^{- 7}$

Step 1

Multiply $m^{- 4}$ by $m^{9}$ 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.

$m^{- 4 + 9} m^{- 7}$

Step 1.2

Add $- 4$ and $9$ .

$m^{5} m^{- 7}$

Step 2

Multiply $m^{5}$ by $m^{- 7}$ by adding the exponents.

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Step 2.1

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

$m^{5 - 7}$

Step 2.2

Subtract $7$ from $5$ .

$m^{- 2}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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