Question

Simplify the variable expression. $$\left(\frac{1}{8}\right)(-4)(-x)(-x)$$

   Simplify the variable expression. $$\left(\frac{1}{8}\right)(-4)(-x)(-x)$$

Algebra 1

Ron Larson, Laurie… 1st Edition

Chapter 4, Problem 83

Instant Answer

Solved by Expert Raushan Kumar

09/05/2020

Step 1

We have $\left(\frac{1}{8}\right)(-4)$ which equals $-\frac{1}{2}$. Show more…

Show all steps

lock

Thanks for your feedback!

Simplify the variable expression. $$\left(\frac{1}{8}\right)(-4)(-x)(-x)$$

Play audio

Feedback

Powered by NumerAI

Raushan Kumar and 50 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Order of Operations

This concept ensures that arithmetic operations are performed in the correct sequence. In expression simplification, constants are multiplied together first, and then the multiplication of variable terms is handled, following the standard arithmetic rules to combine all factors into a single simplified expression.

Exponent Rules

When multiplying identical variables, the exponent rules apply, stating that the exponents are added. For example, the product of -x and -x becomes x raised to the power of 2, while also considering the sign multiplication separately.

Multiplication of Constants

This concept involves multiplying numerical coefficients by treating fractions and integers through standard arithmetic operations. Here, multiplying the constant 1/8 by -4 requires multiplying the numerators and properly handling the negative sign to obtain a simplified constant factor.

Negative Number Multiplication

This concept explains that when multiplying negative numbers, the sign of the product is determined by the number of negative factors. Specifically, the product of an even number of negative factors is positive, while the product of an odd number of negatives is negative. This rule is essential when simplifying expressions that include multiple negative signs.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later