Fully simplify. (2x^(3)y)^(2) Answer:

Apply power rule: Apply the power of a power rule. The power of a power rule states that (a^(m))^n = a^(m*n). We will apply this rule to each part of the expression (2x^(3)y)^(2). (2x^(3)y)^(2) = 2^(2) * (x^(3))^(2) * y^(2)Calculate powers: Calculate the powers. Now we will calculate each power separately. 2^(2) = 4 (x^(3))^(2) = x^(3*2) = x^(6) y^(2) = y^(2)Combine results: Combine the results. Combine the results from Step 2 to get the final simplified expression. 4 * x^(6) * y^(2)Write final answer: Write the final answer. The fully simplified form of the expression is 4x^(6)y^(2).

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Fully simplify. $\newline$ $\left(2 x^{3} y\right)^{2}$ $\newline$ Answer:

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Algebra 1

Simplify radical expressions: mixed review

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Q. Fully simplify.

\newline

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

\newline

Answer:

Apply power rule: Apply the power of a power rule. $\newline$ The power of a power rule states that $(a^{m})^{n} = a^{m*n}$ . We will apply this rule to each part of the expression $(2x^{3}y)^{2}$ . $\newline$ $(2x^{3}y)^{2} = 2^{2} \times (x^{3})^{2} \times y^{2}$
Calculate powers: Calculate the powers. $\newline$ Now we will calculate each power separately. $\newline$ $2^{2} = 4$ $\newline$ $(x^{3})^{2} = x^{3*2} = x^{6}$ $\newline$ $y^{2} = y^{2}$
Combine results: Combine the results. $\newline$ Combine the results from Step $2$ to get the final simplified expression. $\newline$ $4 \times x^{6} \times y^{2}$
Write final answer: Write the final answer. $\newline$ The fully simplified form of the expression is $4x^{6}y^{2}$ .