step 1 To figure out negative 2 to the 5th power, we have to realize that we're multiplying negative 2

Question

$(-2)^{5}$

Name: Problem 51, Chapter 5: Beginning and Intermediate Algebra
Uploaded: 2020-04-28T03:01:55-08:00
Duration: 23 s
Channel: Heather Zimmers
Description: (-2)^5

   $(-2)^{5}$

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 5, Problem 51

Instant Answer

Solved by Expert Heather Zimmers

04/28/2020

Step 1

This means we are multiplying -2 by itself 5 times. Show more…

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$(-2)^{5}$

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Key Concepts

Negative Numbers

Negative numbers are values that are less than zero and have specific rules when used in operations like multiplication and exponentiation. Their behavior, especially when raised to a power, differs from positive numbers and requires careful consideration.

Parity of Exponents

The parity (whether an exponent is odd or even) plays a critical role in determining the sign of the result when raising a negative base to a power. When a negative number is raised to an even exponent, the outcome is positive; when raised to an odd exponent, the outcome remains negative.

Exponentiation

Exponentiation is the operation of raising a number (the base) to the power of an exponent, meaning that the base is multiplied by itself as many times as indicated by the exponent. This concept is foundational in mathematics, appearing in areas like algebra, calculus, and beyond.

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