Basic Math Examples

$a^{- 4} \div a^{- 6}$

Step 1

Rewrite the division as a fraction.

$\frac{a^{- 4}}{a^{- 6}}$

Step 2

Move $a^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$a^{- 4} a^{6}$

Step 3

Multiply $a^{- 4}$ by $a^{6}$ by adding the exponents.

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Step 3.1

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

$a^{- 4 + 6}$

Step 3.2

Add $- 4$ and $6$ .

$a^{2}$