Algebra Examples

${(3 x y)}^{2}$

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 $3 x y$ .

${(3 x)}^{2} y^{2}$

Step 1.2

Apply the product rule to $3 x$ .

$3^{2} x^{2} y^{2}$

Step 2

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

$9 x^{2} y^{2}$