Textbook Question
Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. -3x-1/3
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Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
Chapter 1, Problem 4
Fill in the blank to correctly complete each sentence. In the term -6x2y, -6 is the ______.
Verified step by step guidance1
Identify the parts of the term -6x^2y. The term consists of a coefficient, variables, and their exponents.
Recall that the coefficient is the numerical factor that multiplies the variables in a term.
In the term -6x^2y, the number -6 is the numerical factor multiplying the variables x and y.
Therefore, -6 is the coefficient of the term -6x^2y.
So, the blank should be filled with the word 'coefficient'.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Coefficient
A coefficient is the numerical factor that multiplies the variables in a term. In the term -6x²y, -6 is the coefficient because it is the number directly multiplying the variables x² and y.
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3:04
Example 4
Variables and Exponents
Variables represent unknown values and are often raised to powers called exponents. In the term -6x²y, x is raised to the power of 2, indicating x is squared, while y is to the first power.
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04:06Rational Exponents
Terms in Algebraic Expressions
A term is a single part of an algebraic expression, consisting of coefficients, variables, and exponents combined by multiplication. Understanding terms helps identify components like coefficients and variables within expressions.
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05:07Simplifying Algebraic Expressions
Related Practice
Textbook Question
The reciprocal of 6/2 is 3/1.
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Textbook Question
Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. 3x1/3
Textbook Question
Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. ( 3x )1/3
Textbook Question
Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. -3x1/3
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Textbook Question
Determine whether each statement is true or false. If false, correct the right side of the equation. 5-2 = 1/52