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
Transcribed Image Text:**Question:**
Select the expression that is equivalent to \(\frac{1}{5x^{\frac{1}{2}}}\).
![This image presents a multiple-choice question with four options for an educational website, likely focused on mathematics. Each option involves a fraction containing square roots and the variable "x". Here are the options in detail:
1. The first option (top-left) displays:
\[
\frac{1}{5\sqrt{x^2}}
\]
The numerator is 1, and the denominator is the product of 5 and the square root of \( x^2 \).
2. The second option (top-right) displays:
\[
\frac{1}{\sqrt{5x}}
\]
The numerator is 1, and the denominator is the square root of the product of 5 and \( x \).
3. The third option (bottom-left) displays:
\[
\frac{1}{5\sqrt{x}}
\]
The numerator is 1, and the denominator is the product of 5 and the square root of \( x \).
4. The fourth option (bottom-right) displays:
\[
\frac{1}{\sqrt{5x^2}}
\]
The numerator is 1, and the denominator is the square root of the product of 5 and \( x^2 \).
Each option is accompanied by a circular radio button, which allows users to select one of the four options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd778ba75-86ed-4d38-af28-a715226ea6d4%2F2b62b402-5295-4a08-b185-a89d24391de2%2Fdplgm19_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This image presents a multiple-choice question with four options for an educational website, likely focused on mathematics. Each option involves a fraction containing square roots and the variable "x". Here are the options in detail:
1. The first option (top-left) displays:
\[
\frac{1}{5\sqrt{x^2}}
\]
The numerator is 1, and the denominator is the product of 5 and the square root of \( x^2 \).
2. The second option (top-right) displays:
\[
\frac{1}{\sqrt{5x}}
\]
The numerator is 1, and the denominator is the square root of the product of 5 and \( x \).
3. The third option (bottom-left) displays:
\[
\frac{1}{5\sqrt{x}}
\]
The numerator is 1, and the denominator is the product of 5 and the square root of \( x \).
4. The fourth option (bottom-right) displays:
\[
\frac{1}{\sqrt{5x^2}}
\]
The numerator is 1, and the denominator is the square root of the product of 5 and \( x^2 \).
Each option is accompanied by a circular radio button, which allows users to select one of the four options.
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