Pre-Algebra Examples

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

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $3 a b$ .

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

Step 1.2

Apply the product rule to $3 a$ .

$3^{2} a^{2} b^{2}$

Step 2

Raise $3$ to the power of $2$ .

$9 a^{2} b^{2}$