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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![### Radical Expressions
**Problem 9:**
\[ \sqrt[8]{64a^{8}b^{36}c^{10}} \]
In this expression, we are dealing with a radical expression that involves simplifying an algebraic expression under a radical (specifically, a square root).
**Components of the Expression:**
- **64**: A numerical part that can be simplified since it is a perfect power.
- **\(a^8\)**: The variable \(a\) raised to the power of 8.
- **\(b^{36}\)**: The variable \(b\) raised to the power of 36.
- **\(c^{10}\)**: The variable \(c\) raised to the power of 10.
This is part of a topic on simplifying radical expressions, which often involves applying the rules of exponents and rooting processes. To simplify, each component should be addressed to see if it can be reduced under the radical sign.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc37dbff0-e053-476c-a940-a199db5d9106%2F273fa2e5-a1f3-4a2d-960d-86343f1c4539%2Fkjsk3op_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Radical Expressions
**Problem 9:**
\[ \sqrt[8]{64a^{8}b^{36}c^{10}} \]
In this expression, we are dealing with a radical expression that involves simplifying an algebraic expression under a radical (specifically, a square root).
**Components of the Expression:**
- **64**: A numerical part that can be simplified since it is a perfect power.
- **\(a^8\)**: The variable \(a\) raised to the power of 8.
- **\(b^{36}\)**: The variable \(b\) raised to the power of 36.
- **\(c^{10}\)**: The variable \(c\) raised to the power of 10.
This is part of a topic on simplifying radical expressions, which often involves applying the rules of exponents and rooting processes. To simplify, each component should be addressed to see if it can be reduced under the radical sign.
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