Fully simplify. (-5x^(5)y)^(5) Answer:

Apply Power Rule: To simplify the expression (-5x^(5)y)^(5), we need to apply the power of a power rule, which states that (a^m)^n = a^(m*n) for any real number a and integers m and n.Raise Factors to Fifth Power: Applying the power of a power rule to the given expression, we raise each factor inside the parentheses to the fifth power: (-5)^5, (x^5)^5, and y^5.Calculate Each Part: Calculating each part separately, we get: (-5)^5 = -3125 (since -5 multiplied by itself 5 times is -3125), (x^5)^5 = x^(5*5) = x^25 (multiplying the exponents), y^5 = y^5 (since it's already in the correct form).Combine Results: Combining these results, we get the fully simplified expression: -3125x^25y^5.

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

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Algebra 2

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Q. Fully simplify.

\newline

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

\newline

Answer:

Apply Power Rule: To simplify the expression $(-5x^{5}y)^{5}$ , we need to apply the power of a power rule, which states that $(a^{m})^{n} = a^{m*n}$ for any real number $a$ and integers $m$ and $n$ .
Raise Factors to Fifth Power: Applying the power of a power rule to the given expression, we raise each factor inside the parentheses to the fifth power: $(-5)^5$ , $(x^5)^5$ , and $y^5$ .
Calculate Each Part: Calculating each part separately, we get: $\newline$ $(-5)^5 = -3125$ (since $-5$ multiplied by itself $5$ times is $-3125$ ), $\newline$ $(x^5)^5 = x^{(5*5)} = x^{25}$ (multiplying the exponents), $\newline$ $y^5 = y^5$ (since it's already in the correct form).
Combine Results: Combining these results, we get the fully simplified expression: $-3125x^{25}y^{5}.$