Basic Math Examples

$8^{2} \cdot 8^{- 6} \cdot 8^{9}$

Step 1

Multiply $8^{2}$ by $8^{- 6}$ 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.

$8^{2 - 6} \cdot 8^{9}$

Step 1.2

Subtract $6$ from $2$ .

$8^{- 4} \cdot 8^{9}$

Step 2

Multiply $8^{- 4}$ by $8^{9}$ 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.

$8^{- 4 + 9}$

Step 2.2

Add $- 4$ and $9$ .

$8^{5}$

Step 3

Raise $8$ to the power of $5$ .

$32768$