Question

Evaluate expression. $(-8)^{3}$

Name: Problem 78, Chapter 2: Prealgebra
Uploaded: 2020-07-19T19:01:31-08:00
Duration: 29 s
Channel: Amy Jiang
Description: Evaluate expression. (-8)^3

   Evaluate expression.
$(-8)^{3}$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 2, Problem 78

Instant Answer

Solved by Expert Amy Jiang

07/19/2020

Step 1

This means we have to multiply -8 by itself three times. Show more…

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Evaluate expression. $(-8)^{3}$

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Key Concepts

Negative Numbers in Exponentiation

When dealing with negative numbers in exponentiation, the parity of the exponent is crucial. Specifically, if a negative number is raised to an odd exponent, the result remains negative, while if it is raised to an even exponent, the result becomes positive. This rule is essential for correctly handling and simplifying expressions that include negative bases raised to powers.

Exponentiation

Exponentiation is a mathematical operation that involves raising a number to a power, which means multiplying the base by itself a certain number of times. It is denoted as a^n, where 'a' is the base and 'n' is the exponent. This concept is fundamental in arithmetic and algebra due to its wide use in expressing growth, repeated multiplication, and scaling operations.

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