Simplify: (-3x^(2))^(3) Answer:

Apply Power Rule: Apply the power of a power rule, which states that (a^m)^n = a^(m*n). In this case, we have (-3x^2)^3, so we need to raise both -3 and x^2 to the power of 3. (-3x^2)^3 = (-3)^3 * (x^2)^3Calculate Cubes: Calculate the cube of -3 and the cube of x^2 separately. (-3)^3 = -3 * -3 * -3 = -27 (x^2)^3 = x^(2*3) = x^6Combine Results: Combine the results from Step 2 to get the final simplified expression. -27 * x^6

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Simplify: $\newline$ $\left(-3 x^{2}\right)^{3}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify:

\newline

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

\newline

Answer:

Apply Power Rule: Apply the power of a power rule, which states that a^m)^n = a^{m*n}\. In this case, we have \$\left(-3x^2\right)^3, so we need to raise both (-3\)\ and \x^ $2$ \ to the power of (3\)\. $(-3x^2)^3 = (-3)^3 * (x^2)^3$
Calculate Cubes: Calculate the cube of $-3$ and the cube of $x^2$ separately. $\newline$ $(-3)^3 = -3 \times -3 \times -3 = -27$ $\newline$ $(x^2)^3 = x^{(2\times3)} = x^6$
Combine Results: Combine the results from Step $2$ to get the final simplified expression. $\newline$ $-27 \times x^6$