Apply power rule: Step 1: Apply the power of a power rule, which states (a^m)^n = a^(m*n). Calculation: (3x^(9)y^(3))^(2) = 3^(2)*(x^(9*2))*(y^(3*2))Perform exponentiation: Step 2: Perform the exponentiation. Calculation: 3^(2) = 9, x^(9*2) = x^(18), y^(3*2) = y^(6)Combine results: Step 3: Combine the results from Step 2. Calculation: 9x^(18)y^(6)

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$\left(3 x^{9} y^{3}\right)^{2}$ =

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Math Problems

Algebra 1

Multiply radical expressions

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\left(3 x^{9} y^{3}\right)^{2}

Apply power rule: Step $1$ : Apply the power of a power rule, which states $(a^m)^n = a^{m*n}$ . $\newline$ Calculation: $(3x^{9}y^{3})^{2} = 3^{2}*(x^{9*2})*(y^{3*2})$
Perform exponentiation: Step $2$ : Perform the exponentiation. $\newline$ Calculation: $3^{2} = 9$ , $x^{9\times2} = x^{18}$ , $y^{3\times2} = y^{6}$
Combine results: Step $3$ : Combine the results from Step $2$ . $\newline$ Calculation: $9x^{18}y^{6}$