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 image presents a mathematical problem that reads:
"You have not answered.
Solve \( d = \sqrt[3]{\frac{16Mr^2}{A}} \) for \( M \).
\[ M = \]"
Below this, there is a section labeled "Answers" with two columns: one for entering the solution for \( M \). Currently, the "Answer" column is empty.
Additionally, at the bottom of the image, there is a disclaimer about cookies: "Cookies help us deliver our services. By using our services, you agree to our use of cookies." There is an "OK" button and a "Learn more" link to acknowledge this message.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5cafd2-a634-4d0f-8315-5dac4bc10fac%2Ff32bf1d8-ec73-46a0-b65e-c7a9e8cb5a88%2F42iykil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a mathematical problem that reads:
"You have not answered.
Solve \( d = \sqrt[3]{\frac{16Mr^2}{A}} \) for \( M \).
\[ M = \]"
Below this, there is a section labeled "Answers" with two columns: one for entering the solution for \( M \). Currently, the "Answer" column is empty.
Additionally, at the bottom of the image, there is a disclaimer about cookies: "Cookies help us deliver our services. By using our services, you agree to our use of cookies." There is an "OK" button and a "Learn more" link to acknowledge this message.
![**Problem:**
Solve \(6 \cdot t^{-4} = 66\) for \(t\). Give an exact answer.
\[t = \]
**Answer Table:**
| | Answer |
|----------|-----------|
**Explanation:**
To solve the equation \(6 \cdot t^{-4} = 66\) for \(t\), follow these steps:
1. **Isolate \(t^{-4}\):**
\[
6 \cdot t^{-4} = 66 \quad \Rightarrow \quad t^{-4} = \frac{66}{6} = 11
\]
2. **Solve for \(t\):**
- \(t^{-4} = 11\) implies \(t = 11^{-\frac{1}{4}}\).
To express the answer for this equation, \(t\) is the fourth root of the reciprocal of 11.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5cafd2-a634-4d0f-8315-5dac4bc10fac%2Ff32bf1d8-ec73-46a0-b65e-c7a9e8cb5a88%2Fd388q8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
Solve \(6 \cdot t^{-4} = 66\) for \(t\). Give an exact answer.
\[t = \]
**Answer Table:**
| | Answer |
|----------|-----------|
**Explanation:**
To solve the equation \(6 \cdot t^{-4} = 66\) for \(t\), follow these steps:
1. **Isolate \(t^{-4}\):**
\[
6 \cdot t^{-4} = 66 \quad \Rightarrow \quad t^{-4} = \frac{66}{6} = 11
\]
2. **Solve for \(t\):**
- \(t^{-4} = 11\) implies \(t = 11^{-\frac{1}{4}}\).
To express the answer for this equation, \(t\) is the fourth root of the reciprocal of 11.
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