Algebra Examples

$9^{6} \cdot 9^{- 4} \cdot 9^{- 2}$

Step 1

Multiply $9^{6}$ by $9^{- 4}$ 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.

$9^{6 - 4} \cdot 9^{- 2}$

Step 1.2

Subtract $4$ from $6$ .

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

Step 2

Multiply $9^{2}$ by $9^{- 2}$ 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.

$9^{2 - 2}$

Step 2.2

Subtract $2$ from $2$ .

$9^{0}$

Step 3

Simplify $9^{0}$ .

$1$