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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Question
Rewrite the number without using exponents
![The expression provided is a mathematical fraction that appears to involve polynomial terms and exponents.
\[ \frac{(3x^{-2})(4x^3)}{2x^4} \]
This expression involves:
- A numerator which is the product of \(3x^{-2}\) and \(4x^3\).
- A denominator which is \(2x^4\).
To simplify this expression:
1. Multiply the terms in the numerator: \((3 \times 4)(x^{-2} \times x^3) = 12x^{1}\).
2. Divide by the term in the denominator: \(\frac{12x}{2x^4} = 6x^{-3}\).
The simplified result is \(6x^{-3}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45ca41ad-593a-47be-ba58-1becf5d74f6e%2F741eb097-a9af-4262-b532-93d7009054de%2Fw45bk7r_processed.png&w=3840&q=75)
Transcribed Image Text:The expression provided is a mathematical fraction that appears to involve polynomial terms and exponents.
\[ \frac{(3x^{-2})(4x^3)}{2x^4} \]
This expression involves:
- A numerator which is the product of \(3x^{-2}\) and \(4x^3\).
- A denominator which is \(2x^4\).
To simplify this expression:
1. Multiply the terms in the numerator: \((3 \times 4)(x^{-2} \times x^3) = 12x^{1}\).
2. Divide by the term in the denominator: \(\frac{12x}{2x^4} = 6x^{-3}\).
The simplified result is \(6x^{-3}\).
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