---**Educational Resource: Understanding Equivalent Expressions in Mathematics**### Question:**1. Select the equivalent expression.**Given expression $ 3^{-5} $:Options:- A. $ (-3)^5 $- B. $ \frac{1}{3^5} $- C. $ -15 $*[The question is sourced from a Google Forms quiz titled "Mod 5 Accelerated 2 - Common Assessment 4A." The date of the quiz is June 7, 2021.]*---### Explanation of Equivalent ExpressionsWhen dealing with exponential expressions, understanding how to simplify and find equivalent forms is crucial. - The given expression $ 3^{-5} $ represents $ \frac{1}{3^5} $. This transformation leverages the property that $ a^{-b} $ equals $ \frac{1}{a^b} $.- Option A, $ (-3)^5 $, is not equivalent because it’s $ -3 $ raised to the power of 5, resulting in a negative number raised to an odd power.- Option C, $ -15 $, is a whole number and unrelated to the given expression.So, the correct equivalent expression for $ 3^{-5} $ is **$ \frac{1}{3^5} $**, matching option B.### Diagram DescriptionThere are no graphs or diagrams associated with this particular question.---**End of Resource.**

Answered: 1. Select the equivalent expression.…

1. Select the equivalent expression. 3-5

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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