step 1 All right, guys, for 33, it wants me to go ahead and simplify the expression of negative 3A over

Question

$(-3 a)^{3}$

Name: Problem 31, Chapter 5: Elementary Algebra
Uploaded: 2020-04-19T20:20:32-08:00
Duration: 46 s
Channel: Coach Rye
Description: (-3 a)^3

   $(-3 a)^{3}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 31

Instant Answer

Solved by Expert Coach Rye

04/19/2020

Step 1

First, we have a cube, which means we need to multiply the base (-3a) by itself three times: (-3a) * (-3a) * (-3a) Now, let's multiply the numbers and the variables separately: Show more…

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$(-3 a)^{3}$

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Key Concepts

Exponentiation of a Product

This concept explains that when a product is raised to a power, each factor in the product is raised to that power individually. It is used to simplify expressions where a combined term, such as a numerical coefficient and a variable, is raised to an exponent.

Handling Negative Signs with Exponents

This principle determines the sign of the result when an expression with a negative sign is raised to an exponent. Specifically, it notes that if the exponent is odd, the negative sign is retained, whereas if it is even, the negative sign is neutralized.

Monomial Exponentiation

Monomial exponentiation focuses on raising a single term, composed of a coefficient and variable, to a given power. The process requires applying the exponent to both the coefficient and the variable, highlighting the multiplicative nature of exponentiation in algebraic expressions.

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