Question
upstudy study bank question image url

Unit test Evaluate. \( (-1)^{5}=\square \)

Ask by Floyd Klein. in the United States
Feb 28,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The answer is -1.

Solution

To evaluate (-1)⁵, notice that an odd number of -1 multiplications will yield -1. Specifically: (-1)⁵ = (-1) × (-1) × (-1) × (-1) × (-1) = -1. Thus, the answer is -1.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

The evaluation of \( (-1)^{5} \) is quite simple! When you raise -1 to an odd exponent, the result remains -1. So, \( (-1)^{5} = -1 \). It’s like a game of hot and cold—odd powers keep it chilly and negative, while even powers warm it up and turn it positive! If you ever wonder about the pattern, just remember: Raising -1 to any odd power will always result in -1, while raising it to an even power will yield 1. It's a nifty little trick to remember for future calculations!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy