Algebra and Trigonometry (6th Edition)
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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Question
![**Instruction:**
Express using a positive exponent. Assume that the variable is a nonzero number.
**Expression:**
\[
\frac{1}{u^{-2}}
\]
**Solution:**
To express \( \frac{1}{u^{-2}} \) using a positive exponent, we utilize the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Similarly, \( \frac{1}{a^{-n}} = a^n \).
Applying this property, we can rewrite the expression:
\[
\frac{1}{u^{-2}} = u^2
\]
Thus, the expression with a positive exponent is \( u^2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9db20b0-a00d-4dc4-b9b1-ad2c3aa07dc0%2F55ca3628-391b-499e-abe1-a4c8ce61b4fe%2Fzelo2n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instruction:**
Express using a positive exponent. Assume that the variable is a nonzero number.
**Expression:**
\[
\frac{1}{u^{-2}}
\]
**Solution:**
To express \( \frac{1}{u^{-2}} \) using a positive exponent, we utilize the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Similarly, \( \frac{1}{a^{-n}} = a^n \).
Applying this property, we can rewrite the expression:
\[
\frac{1}{u^{-2}} = u^2
\]
Thus, the expression with a positive exponent is \( u^2 \).
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