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Fully simplify.

(-2x^(5)y^(2))^(2)
Answer:

Fully simplify. $\newline$ $\left(-2 x^{5} y^{2}\right)^{2}$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

\left(-2 x^{5} y^{2}\right)^{2}

\newline

Answer:

Identify Base and Exponent: Identify the base and the exponent in $(-2x^{5}y^{2})^{2}$ . $\newline$ In $(-2x^{5}y^{2})^{2}$ , $\newline$ Base: $-2x^{5}y^{2}$ $\newline$ Exponent: $2$
Apply Power of Product Rule: Apply the power of a product rule, which states that $(ab)^n = a^n * b^n$ , to the base. (\(-2x^{ $5$ }y^{ $2$ })^{ $2$ } = ( $-2$ )^ $2$ * (x^{ $5$ })^ $2$ * (y^{ $2$ })^ $2$ \
Calculate Each Part: Calculate each part separately. $\newline$ $(-2)^2 = 4$ $\newline$ $(x^{5})^2 = x^{(5*2)} = x^{10}$ $\newline$ $(y^{2})^2 = y^{(2*2)} = y^{4}$
Multiply Results Together: Multiply the results together to get the final simplified expression. $\newline$ $4 \times x^{10} \times y^{4} = 4x^{10}y^{4}$

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