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,...
Related questions
Question
![### Problem 7: Simplify
Simplify the expression: \( \sqrt[3]{\frac{4}{49}} \)
**Options:**
a) \( \frac{\sqrt[3]{8}}{7} \)
b) \( \frac{\sqrt[3]{7}}{49} \)
c) \( \frac{\sqrt[3]{7}}{8} \)
d) \( \frac{\sqrt[3]{28}}{7} \)
#### Explanation:
This problem requires simplifying a cube root of a fractional expression. To solve this:
1. Recognize that simplifying \(\sqrt[3]{\frac{4}{49}}\) involves evaluating the cube root of both the numerator and the denominator.
2. Explore each option to determine which accurately represents the simplified form.
### Graphs or Diagrams:
There are no graphs or diagrams present in this problem. The problem is purely numerical and involves mathematical expression simplification.
Engage with this type of problem to understand cube roots and fractional simplification.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0fe4764-4b5b-449c-be80-d627d74391d7%2F6f74e682-ba4b-483e-9ac6-d1effe79349d%2Flqqny6s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 7: Simplify
Simplify the expression: \( \sqrt[3]{\frac{4}{49}} \)
**Options:**
a) \( \frac{\sqrt[3]{8}}{7} \)
b) \( \frac{\sqrt[3]{7}}{49} \)
c) \( \frac{\sqrt[3]{7}}{8} \)
d) \( \frac{\sqrt[3]{28}}{7} \)
#### Explanation:
This problem requires simplifying a cube root of a fractional expression. To solve this:
1. Recognize that simplifying \(\sqrt[3]{\frac{4}{49}}\) involves evaluating the cube root of both the numerator and the denominator.
2. Explore each option to determine which accurately represents the simplified form.
### Graphs or Diagrams:
There are no graphs or diagrams present in this problem. The problem is purely numerical and involves mathematical expression simplification.
Engage with this type of problem to understand cube roots and fractional simplification.
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