Basic Math Examples

$a^{- 2} \cdot a^{- 6}$

Step 1

Multiply $a^{- 2}$ by $a^{- 6}$ 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.

$a^{- 2 - 6}$

Step 1.2

Subtract $6$ from $- 2$ .

$a^{- 8}$

Step 2

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

$\frac{1}{a^{8}}$