Algebra Examples

$(a^{3} b^{3}) {(a b)}^{- 2}$

Step 1

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

$a^{3} b^{3} \frac{1}{{(a b)}^{2}}$

Step 2

Apply the product rule to $a b$ .

$a^{3} b^{3} \frac{1}{a^{2} b^{2}}$

Step 3

Cancel the common factor of $a^{2} b^{2}$ .

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Step 3.1

Factor $a^{2} b^{2}$ out of $a^{3} b^{3}$ .

$a^{2} b^{2} (a b) \frac{1}{a^{2} b^{2}}$

Step 3.2

Cancel the common factor.

$a^{2} b^{2} (a b) \frac{1}{a^{2} b^{2}}$

Step 3.3

Rewrite the expression.

$a b$