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Fully simplify.

(-6x^(3)y^(2))^(2)
Answer:

Fully simplify. $\newline$ $\left(-6 x^{3} y^{2}\right)^{2}$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

\left(-6 x^{3} y^{2}\right)^{2}

\newline

Answer:

Identify base and exponent: Identify the base and the exponent in $(-6x^{3}y^{2})^{2}$ . $\newline$ In $(-6x^{3}y^{2})^{2}$ , $\newline$ Base: $-6x^{3}y^{2}$ $\newline$ Exponent: $2$
Apply power of product rule: Apply the power of a product rule, which states that $(ab)^n = a^n \times b^n$ , to the base and the exponent. $(-6x^{3}y^{2})^{2} = (-6)^{2} \times (x^{3})^{2} \times (y^{2})^{2}$
Calculate each part: Calculate each part separately. $\newline$ $(-6)^2 = 36$ $\newline$ $(x^{3})^2 = x^{(3*2)} = x^{6}$ $\newline$ $(y^{2})^2 = y^{(2*2)} = y^{4}$
Multiply results together: Multiply the results together to get the final simplified expression. $36 \times x^{6} \times y^{4}$

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