Fully simplify. (2x^(2)y)^(4) Answer:

Apply Power Rule: Apply the power rule to the entire expression. When raising a power to a power, you multiply the exponents. In this case, we have (2x^(2)y)^(4), which means we need to raise each component inside the parentheses to the power of 4. (2x^(2)y)^(4) = 2^(4) * (x^(2))^(4) * y^(4)Simplify Components: Simplify each component separately. Now we simplify each part of the expression: 2^(4) = 2 * 2 * 2 * 2 = 16 (x^(2))^(4) = x^(2*4) = x^(8) y^(4) = y * y * y * yCombine Simplified Components: Combine the simplified components. After simplifying each part, we combine them to get the final simplified expression: 16 * x^(8) * y^(4)

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Fully simplify. $\newline$ $\left(2 x^{2} y\right)^{4}$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Fully simplify.

\newline

\left(2 x^{2} y\right)^{4}

\newline

Answer:

Apply Power Rule: Apply the power rule to the entire expression. $\newline$ When raising a power to a power, you multiply the exponents. In this case, we have $(2x^{2}y)^{4}$ , which means we need to raise each component inside the parentheses to the power of $4$ . $\newline$ $(2x^{2}y)^{4} = 2^{4} \times (x^{2})^{4} \times y^{4}$
Simplify Components: Simplify each component separately. $\newline$ Now we simplify each part of the expression: $\newline$ $2^{4} = 2 \times 2 \times 2 \times 2 = 16$ $\newline$ $(x^{2})^{4} = x^{2\times4} = x^{8}$ $\newline$ $y^{4} = y \times y \times y \times y$
Combine Simplified Components: Combine the simplified components. After simplifying each part, we combine them to get the final simplified expression: $16 \times x^{8} \times y^{4}$