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Simplify: (a) 3-2, (b) х-8, (с) (-4)-2, (d) 3-3 - 9-2 (а) (b) (с) (d)

Simplify: (a) 3-2, (b) х-8, (с) (-4)-2, (d) 3-3 - 9-2 (а) (b) (с) (d)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Express using positive exponents and simplify, if possible: (a) 32, (b) y-1, (c) (-2)-3, and (d) 5-2 – 10-2 Since each exponent is a negative number, we will use the negative exponent rule. This rule enables us to write an exponential expression that has a negative exponent in an equivalent form using a positive exponent. 1 (a) 3-2 Write the reciprocal of 3-2 and change the sign of the exponent. 3 1 32 = 9. (b) -1 and change the sign of the exponent. -1 Write the reciprocal of y 1 %3D 1 (c) (-2)-3 Because of the parentheses, the base is –2. Write the reciprocal of (-2)¯³ and change the exponent from -3 to 3. (-2) (-2)³ = -8. 1 (d) 5-2 - 10-2 = Write the reciprocal of 5-2 and 10-2 and change the sign of each exponent. 10 1 1 Evalute: 52 = 25 and 102 = 100. 1 Build 1/25 to have a denominator of 100 so that the fractions can be subtracted: 1/25 = 1/25· 4/4 4/100 100 100 100 Simplify: (a) 3-2, (b) (c) (-4)-2, (d) 3-3 – 9-2 (a) (b) || II
Transcribed Image Text:Express using positive exponents and simplify, if possible: (a) 32, (b) y-1, (c) (-2)-3, and (d) 5-2 – 10-2 Since each exponent is a negative number, we will use the negative exponent rule. This rule enables us to write an exponential expression that has a negative exponent in an equivalent form using a positive exponent. 1 (a) 3-2 Write the reciprocal of 3-2 and change the sign of the exponent. 3 1 32 = 9. (b) -1 and change the sign of the exponent. -1 Write the reciprocal of y 1 %3D 1 (c) (-2)-3 Because of the parentheses, the base is –2. Write the reciprocal of (-2)¯³ and change the exponent from -3 to 3. (-2) (-2)³ = -8. 1 (d) 5-2 - 10-2 = Write the reciprocal of 5-2 and 10-2 and change the sign of each exponent. 10 1 1 Evalute: 52 = 25 and 102 = 100. 1 Build 1/25 to have a denominator of 100 so that the fractions can be subtracted: 1/25 = 1/25· 4/4 4/100 100 100 100 Simplify: (a) 3-2, (b) (c) (-4)-2, (d) 3-3 – 9-2 (a) (b) || II
Simplify: (a) 3-2, (b) x-8, (c) (-4)-2, (d) 3-3 – 9-2 (a) (b) (c) (d)
Transcribed Image Text:Simplify: (a) 3-2, (b) x-8, (c) (-4)-2, (d) 3-3 – 9-2 (a) (b) (c) (d)
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