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

Apply Power to Base: To simplify the expression (-3x)^(3), we need to apply the power to both the coefficient and the variable. The power of 3 means we will multiply the base, -3x, by itself three times. (-3x) * (-3x) * (-3x)Multiply Negative Numbers: When multiplying negative numbers, an even number of negatives results in a positive product, while an odd number of negatives results in a negative product. Since we have three negative signs, the result will be negative. (-3) * (-3) * (-3) = -27Apply Power to Variable: Now we apply the power to the variable x. Since the power is 3, we multiply x by itself three times. x * x * x = x^3Combine Results: Combine the results from the previous steps to get the final simplified expression. -27 * x^3 = -27x^3

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Algebra 2

Simplify variable expressions using properties

Full solution

Q. Simplify:

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(-3 x)^{3}

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Answer:

Apply Power to Base: To simplify the expression $(-3x)^{3}$ , we need to apply the power to both the coefficient and the variable. The power of $3$ means we will multiply the base, $-3x$ , by itself three times. $(-3x) \times (-3x) \times (-3x)$
Multiply Negative Numbers: When multiplying negative numbers, an even number of negatives results in a positive product, while an odd number of negatives results in a negative product. Since we have three negative signs, the result will be negative. $\newline$ $(-3) \times (-3) \times (-3) = -27$
Apply Power to Variable: Now we apply the power to the variable $x$ . Since the power is $3$ , we multiply $x$ by itself three times. $\newline$ $x \times x \times x = x^3$
Combine Results: Combine the results from the previous steps to get the final simplified expression. $\newline$ $-27 \times x^3 = -27x^3$