Simplify (3x^2y)^2 - MathMaster

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

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

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Apply the product rule to $3 x^{2} y$ .

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

Apply the product rule to $3 x^{2}$ .

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

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

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

Multiply the exponents in ${(x^{2})}^{2}$ .

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Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Multiply $2$ by $2$ .

$9 x^{4} y^{2}$

Simplify (3x^2y)^2

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