Simplify: (-6q^(5))^(2) Answer:

Apply Power Rule: To simplify the expression (-6q^(5))^(2), we need to apply the power of a power rule, which states that (a^n)^m = a^(n*m). Here, a is -6q^5, n is 1 (since any number to the power of 1 is itself), and m is 2. Calculation: (-6q^(5))^2 = (-6)^2 * (q^5)^2 Math error check: Calculate Squares: Now we need to calculate the square of -6 and the square of q^5 separately. Calculation: (-6)^2 = 36 and (q^5)^2 = q^(5*2) = q^10 Math error check: Combine Results: Combine the results from the previous step to get the final simplified expression. Calculation: 36 * q^10 Math error check:

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Simplify: $\newline$ $\left(-6 q^{5}\right)^{2}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify:

\newline

\left(-6 q^{5}\right)^{2}

\newline

Answer:

Apply Power Rule: To simplify the expression $(-6q^{5})^{2}$ , we need to apply the power of a power rule, which states that $(a^n)^m = a^{n*m}$ . Here, $a$ is $-6q^5$ , $n$ is $1$ (since any number to the power of $1$ is itself), and $m$ is $2$ . $\newline$ Calculation: $(-6q^{5})^2 = (-6)^2 \times (q^5)^2$ $\newline$ Math error check:
Calculate Squares: Now we need to calculate the square of $-6$ and the square of $q^5$ separately. $\newline$ Calculation: $(-6)^2 = 36$ and $(q^5)^2 = q^{(5*2)} = q^{10}$ $\newline$ Math error check:
Combine Results: Combine the results from the previous step to get the final simplified expression. $\newline$ Calculation: $36 \times q^{10}$ $\newline$ Math error check: