**Mathematics Problem** **Question 17:** Given that \( a = 4b^3 \) and \( c = 5a^2b^4 \), demonstrate that \( c = 80b^{10} \). **Question 19:** Simplify the expression \[ \frac{3x^{-1}y^5}{(2x^2y^{-2})^{-2}} \] Provide a step-by-step simplification and explanation of the expression.
**Mathematics Problem** **Question 17:** Given that \( a = 4b^3 \) and \( c = 5a^2b^4 \), demonstrate that \( c = 80b^{10} \). **Question 19:** Simplify the expression \[ \frac{3x^{-1}y^5}{(2x^2y^{-2})^{-2}} \] Provide a step-by-step simplification and explanation of the expression.
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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![**Mathematics Problem**
**Question 17:**
Given that \( a = 4b^3 \) and \( c = 5a^2b^4 \), demonstrate that \( c = 80b^{10} \).
**Question 19:**
Simplify the expression
\[
\frac{3x^{-1}y^5}{(2x^2y^{-2})^{-2}}
\]
Provide a step-by-step simplification and explanation of the expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47ebf8e0-0639-4c02-a098-1722152a8587%2Ff339775b-7297-46a1-b3d3-f5d7b7708de5%2Fdb7058.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics Problem**
**Question 17:**
Given that \( a = 4b^3 \) and \( c = 5a^2b^4 \), demonstrate that \( c = 80b^{10} \).
**Question 19:**
Simplify the expression
\[
\frac{3x^{-1}y^5}{(2x^2y^{-2})^{-2}}
\]
Provide a step-by-step simplification and explanation of the expression.
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