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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![The expression shown is a mathematical equation written in exponential and fractional form. It is:
\[
\left( \frac{2x^2}{y^7} \right)^3
\]
Detailed Breakdown:
1. **Fraction**: The expression is a fraction inside parentheses where:
- The numerator is \(2x^2\), meaning 2 times \(x\) squared.
- The denominator is \(y^7\), which is \(y\) raised to the power of 7.
2. **Exponent**: The entire fraction is raised to the power of 3, indicating that everything inside the parentheses should be cubed.
In an educational setting, this expression can be used to demonstrate how to apply the power of a quotient rule in algebra, which states that when an entire fraction is raised to an exponent, both the numerator and the denominator must be raised to that exponent separately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1df9353-0479-4cfd-8a2e-de4d3fec253c%2F04d79f80-f5de-4225-9c2e-413638a33aec%2Fr6yf5u9_processed.png&w=3840&q=75)
Transcribed Image Text:The expression shown is a mathematical equation written in exponential and fractional form. It is:
\[
\left( \frac{2x^2}{y^7} \right)^3
\]
Detailed Breakdown:
1. **Fraction**: The expression is a fraction inside parentheses where:
- The numerator is \(2x^2\), meaning 2 times \(x\) squared.
- The denominator is \(y^7\), which is \(y\) raised to the power of 7.
2. **Exponent**: The entire fraction is raised to the power of 3, indicating that everything inside the parentheses should be cubed.
In an educational setting, this expression can be used to demonstrate how to apply the power of a quotient rule in algebra, which states that when an entire fraction is raised to an exponent, both the numerator and the denominator must be raised to that exponent separately.
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