Algebra Examples

$\frac{9^{2}}{9^{- 4}}$

Step 1

Move $9^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

Multiply $9^{2}$ by $9^{4}$ by adding the exponents.

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

$9^{2 + 4}$

Add $2$ and $4$ .

$9^{6}$

Step 3

Raise $9$ to the power of $6$ .

$531441$