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Chapter 14 Decimal Notation and Exponents 53. Answer the following questions (hint: see your answers to the Bold questions. You already have the answers to these questions, but it will be convenient if you have them here in one place for reference.) p. 9 1, What is a general rule for simplifying expressions like x xB? Explain where this rule comes from z What is the general rule for simplifying expressions like ? Explain where this rule comes from What is another way or writing a negative exponent, as in the expression 2-3? Explain 3 where this rule comes from U What is the meaning of a zero exponent, as in 2°? Explain where this rule comes from What is a general rule for simplifying expressions like (x4)" ? Explain where this rule comes from What is a general rule for "distributing" exponents in expressions like (xy)4? Explain where this rule comes from Explain what x means. Explain where this rule comes from How you can decide whether to distribute exponents in these two expressions: (xy)4 and (x + y)4? 9 What is the rule for determining how many solutions there might be to equations of the form x" = B? Explain where this rule comes from. %3D What does a fraction exponent mean, and how is it useful for solving for x in equations like 10 x" = B?

Chapter 14 Decimal Notation and Exponents 53. Answer the following questions (hint: see your answers to the Bold questions. You already have the answers to these questions, but it will be convenient if you have them here in one place for reference.) p. 9 1, What is a general rule for simplifying expressions like x xB? Explain where this rule comes from z What is the general rule for simplifying expressions like ? Explain where this rule comes from What is another way or writing a negative exponent, as in the expression 2-3? Explain 3 where this rule comes from U What is the meaning of a zero exponent, as in 2°? Explain where this rule comes from What is a general rule for simplifying expressions like (x4)" ? Explain where this rule comes from What is a general rule for "distributing" exponents in expressions like (xy)4? Explain where this rule comes from Explain what x means. Explain where this rule comes from How you can decide whether to distribute exponents in these two expressions: (xy)4 and (x + y)4? 9 What is the rule for determining how many solutions there might be to equations of the form x" = B? Explain where this rule comes from. %3D What does a fraction exponent mean, and how is it useful for solving for x in equations like 10 x" = B?

Algebra and Trigonometry (6th Edition)
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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Chapter 14 Decimal Notation and Exponents р. 9 53. Answer the following questions (hint: see your answers to the Bold questions. You already have the answers to these questions, but it will be convenient if you have them here in one place for reference.) 1,What is a general rule for simplifying expressions like xA xB? Explain where this rule comes from 7 What is the general rule for simplifying expressions like ? Explain where this rule comes from 2 What is another way or writing a negative exponent, as in the expression 2-3? Explain where this rule comes from 4 What is the meaning of a zero exponent, as in 2°? Explain where this rule comes from What is a general rule for simplifying expressions like (x4)" ? Explain where this rule comes from What is a general rule for "distributing" exponents in expressions like (xy)4? Explain where this rule comes from - Explain what x' means. Explain where this rule comes from How you can decide whether to distribute exponents in these two expressions: (xy)4 and (x + y)4? 9 What is the rule for determining how many solutions there might be to equations of the form x" = B? Explain where this rule comes from. What does a fraction exponent mean, and how is it useful for solving for x in equations like 10 xa = B ? I hope you learned:: what exponential notation means, including negative exponents, fraction exponents, and zero exponents how to make sense of the rules of exponents, so that you don't have to memorize them, but you can work them out on your own. how the root symbol, v , is related to exponential notation when you "plug in" a value for a variable, remember that if you are plugging in a negative number, the negative number is INCLUDED in what you are plugging in. So you would write in a parentheses around the number so it's clear that the thing that is being raised to a power includes the sign. To evaluate x when x = -2, you would NOT write x = -23, you MUST write x = (-2)3
Transcribed Image Text:Chapter 14 Decimal Notation and Exponents р. 9 53. Answer the following questions (hint: see your answers to the Bold questions. You already have the answers to these questions, but it will be convenient if you have them here in one place for reference.) 1,What is a general rule for simplifying expressions like xA xB? Explain where this rule comes from 7 What is the general rule for simplifying expressions like ? Explain where this rule comes from 2 What is another way or writing a negative exponent, as in the expression 2-3? Explain where this rule comes from 4 What is the meaning of a zero exponent, as in 2°? Explain where this rule comes from What is a general rule for simplifying expressions like (x4)" ? Explain where this rule comes from What is a general rule for "distributing" exponents in expressions like (xy)4? Explain where this rule comes from - Explain what x' means. Explain where this rule comes from How you can decide whether to distribute exponents in these two expressions: (xy)4 and (x + y)4? 9 What is the rule for determining how many solutions there might be to equations of the form x" = B? Explain where this rule comes from. What does a fraction exponent mean, and how is it useful for solving for x in equations like 10 xa = B ? I hope you learned:: what exponential notation means, including negative exponents, fraction exponents, and zero exponents how to make sense of the rules of exponents, so that you don't have to memorize them, but you can work them out on your own. how the root symbol, v , is related to exponential notation when you "plug in" a value for a variable, remember that if you are plugging in a negative number, the negative number is INCLUDED in what you are plugging in. So you would write in a parentheses around the number so it's clear that the thing that is being raised to a power includes the sign. To evaluate x when x = -2, you would NOT write x = -23, you MUST write x = (-2)3
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