Solutions for Precalculus
Problem 1E:
(a) Using exponential notation, we can write the product 5 5 5 5 5 5 as __________. (b) In the...Problem 2E:
(a) When we multiply two powers with the same base, we __________ the exponents. So 34 35 =...Problem 5E:
Explain how we rationalize a denominator, then complete the following steps to rationalize 13:...Problem 7E:
Yes or No? If No, give a reason. 7. (a) Is the expression (23)2 equal to 34? (b) Is there a...Problem 33E:
Exponents Simplify each expression, and eliminate any negative exponents. 33. (a) a9a2a (b) (a2a4)3...Problem 41E:
Exponents Simplify each expression, and eliminate any negative exponents. 41. (a) 8a3b42a5b5 (b)...Problem 65E:
Rational Exponents Simplify the expression and eliminate any negative exponent(s). Assume that all...Problem 73E:
Radicals Simplify the expression, and eliminate any negative exponents(s). Assume that all letters...Problem 79E:
Rationalize Put each fractional expression into standard form by rationalizing the denominator. 79....Problem 87E:
Scientific Notation Write the number indicated in each statement in scientific notation. 87. (a) A...Problem 94E:
Scientific Notation Use scientific notation, the Laws of Exponents, and a calculator to perform the...Problem 99E:
Volume of the Oceans The average ocean depth is 3.7 103 m, and the area of the oceans is 3.6 1014...Problem 100E:
National Debt As of July 2013, the population of the United States was 3.164 108, and the national...Problem 101E:
Number of Molecules A sealed room in a hospital, measuring 5 m wide, 10 m long, and 3 m high, is...Problem 103E:
Speed of a Skidding Car Police use the formula s=30fd to estimate the speed s (in mi/h) at which a...Browse All Chapters of This Textbook
Chapter 1 - FundamentalsChapter 1.1 - Real NumbersChapter 1.2 - Exponents And RadicalsChapter 1.3 - Algebraic ExpressionsChapter 1.4 - Rational ExpressionsChapter 1.5 - EquationsChapter 1.6 - Complex NumbersChapter 1.7 - Modeling With EquationsChapter 1.8 - InequalitiesChapter 1.9 - The Coordinate Plane; Graphs Of Equations; Circles
Chapter 1.10 - LinesChapter 1.11 - Solving Equations And Inequalities GraphicallyChapter 1.12 - Modeling VariationChapter 2 - FunctionsChapter 2.1 - FunctionsChapter 2.2 - Graphs Of FunctionsChapter 2.3 - Getting Information From The Graph Of A FunctionChapter 2.4 - Average Rate Of Change Of A FunctionChapter 2.5 - Linear Functions And ModelsChapter 2.6 - Transformations Of FunctionsChapter 2.7 - Combining FunctionsChapter 2.8 - One-to-one Functions And Their InversesChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Quadratic Functions And ModelsChapter 3.2 - Polynomial Functions And Their GraphsChapter 3.3 - Dividing PolynomialsChapter 3.4 - Real Zeros Of PolynomialsChapter 3.5 - Complex Zeros And The Fundamental Theorem Of AlgebraChapter 3.6 - Rational FunctionsChapter 3.7 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Natural Exponential FunctionChapter 4.3 - Logarithmic FunctionsChapter 4.4 - Laws Of LogarithmsChapter 4.5 - Exponential And Logarithmic EquationsChapter 4.6 - Modeling With Exponential FunctionsChapter 4.7 - Logarithmic ScalesChapter 5 - Trigonometric Functions: Unit Circle ApproachChapter 5.1 - The Unit CircleChapter 5.2 - Trigonometric Functions Of Real NumbersChapter 5.3 - Trigonometric GraphsChapter 5.4 - More Trigonometric GraphsChapter 5.5 - Inverse Trigonometric Functions And Their GraphsChapter 5.6 - Modeling Harmonic MotionChapter 6 - Trigonometric Functions: Right Triangle ApproachChapter 6.1 - Angle MeasureChapter 6.2 - Trigonometry Of Right TrianglesChapter 6.3 - Trigonometric Functions Of AnglesChapter 6.4 - Inverse Trigonometric Functions And Right TrianglesChapter 6.5 - The Law Of SinesChapter 6.6 - The Law Of CosinesChapter 7 - Analytic TrigonometryChapter 7.1 - Trigonometric IdentitiesChapter 7.2 - Addition And Subtraction FormulasChapter 7.3 - Double-angle, Half-angle, And Product-sum FormulasChapter 7.4 - Basic Trigonometric EquationsChapter 7.5 - More Trigonometric EquationsChapter 8 - Polar Coordinates And Parametric EquationsChapter 8.1 - Polar CoordinatesChapter 8.2 - Graphs Of Polar EquationsChapter 8.3 - Polar Form Of Complex Numbers; De Moivre's TheoremChapter 8.4 - Plane Curves And Parametric EquationsChapter 9 - Vectors In Two And Three DimensionsChapter 9.1 - Vectors In Two DimensionsChapter 9.2 - The Dot ProductChapter 9.3 - Three-dimensional Coordinate GeometryChapter 9.4 - Vectors In Three DimensionsChapter 9.5 - The Cross ProductChapter 9.6 - Equations Of Lines And PlanesChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations In Two VariablesChapter 10.2 - Systems Of Linear Equations In Several VariablesChapter 10.3 - Matrices And Systems Of Linear EquationsChapter 10.4 - The Algebra Of MatricesChapter 10.5 - Inverses Of Matrices And Matrix EquationsChapter 10.6 - Determinants And Cramer's RuleChapter 10.7 - Partial FractionsChapter 10.8 - Systems Of Nonlinear EquationsChapter 10.9 - Systems Of InequalitiesChapter 11 - Conic SectionsChapter 11.1 - ParabolasChapter 11.2 - EllipsesChapter 11.3 - HyperbolasChapter 11.4 - Shifted ConicsChapter 11.5 - Rotation Of AxesChapter 11.6 - Polar Equations Of ConicsChapter 12 - Sequences And SeriesChapter 12.1 - Sequences And Summation NotationChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric SequencesChapter 12.4 - Mathematics Of FinanceChapter 12.5 - Mathematical InductionChapter 12.6 - The Binomial TheoremChapter 13 - Limits: A Preview Of CalculusChapter 13.1 - Finding Limits Numerically And GraphicallyChapter 13.2 - Finding Limits AlgebraicallyChapter 13.3 - Tangent Lines And DerivativesChapter 13.4 - Limits At Infinity; Limits Of SequencesChapter 13.5 - Areas
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