Solutions for Intermediate Algebra (12th Edition)
Problem 1DE:
Multiply and simplify. 8387Problem 2DE:
Multiply and simplify.
2.
Problem 3DE:
Multiply and simplify.
3.
Problem 4DE:
Multiply and simplify. (3x4)(25x10)Problem 5DE:
Multiply and simplify. (7x3n)(6x5n)Problem 6DE:
Multiply and simplify. (5x3y4)(2x9y2)Problem 7DE:
Multiply and simplify. (4x2y4)(15x2y3)Problem 8DE:
Divide and simplify. 4845Problem 9DE:
Divide and simplify.
9.
Problem 11DE:
Divide and simplify. 45x5n9x3nProblem 12DE:
Divide and simplify. 42y7x621y3x10Problem 14DE:
Simplify. (37)6Problem 15DE:
Simplify. (z4)5Problem 16DE:
Simplify. (t2)7mProblem 17DE:
Simplify. 17. (2xy)3Problem 18DE:
Simplify. 18.
Problem 19DE:
Simplify. 19. (2x4y2)5Problem 20DE:
Simplify. 20.
Problem 21DE:
Simplify.
21.
Problem 22DE:
Simplify. (3x2y3y5)2Problem 23DE:
Simplify. [3a5b32a2b4]3Problem 25DE:
Converted to scientific notation. 0.000000000257Problem 26DE:
Converted to decimal notation. 4.5671013Problem 31DE:
Divide and write scientific notation for the answer.
31.
Problem 32DE:
32. Mass of Jupiter. The mass of the planet Jupiter is about 318 times the mass of Earth, which is...Problem 33DE:
Light from the Sun to Pluto. The distance from the dwarf planet Pluto to the sun is about...Problem 1RC:
Match each expression with an equivalent expression from the column on the right.
RC1. _____
a) ...Problem 2RC:
Match each expression with an equivalent expression from the column on the right. RC2. _____ (45)3...Problem 3RC:
Match each expression with an equivalent expression from the column on the right. RC3. _____ 4543 a)...Problem 4RC:
Match each expression with an equivalent expression from the column on the right. RC3. _____ (45)3...Problem 5RC:
Match each expression with an equivalent expression from the column on the right. RC5. _____ (45)3...Problem 6RC:
Match each expression with an equivalent expression from the column on the right.
RC6. _____
a) ...Problem 1ES:
Multiply and simplify.
Problem 2ES:
Multiply and simplify.
2.
Problem 3ES:
Multiply and simplify. 6662Problem 4ES:
Multiply and simplify.
4.
Problem 5ES:
Multiply and simplify. 8284Problem 6ES:
Multiply and simplify. 9196Problem 7ES:
Multiply and simplify.
7.
Problem 9ES:
Multiply and simplify. a3a4a2Problem 10ES:
Multiply and simplify. x8x5x3Problem 11ES:
Multiply and simplify. (2x)3(3x)2Problem 12ES:
Multiply and simplify. (9y)2(2y)3Problem 13ES:
Multiply and simplify. (14m2n3)(2m3n2)Problem 14ES:
Multiply and simplify. (6x5y2)(3x2y3)Problem 15ES:
Multiply and simplify.
15.
Problem 16ES:
Multiply and simplify.
16.
Problem 17ES:
Multiply and simplify. (15x4t)(7x6t)Problem 18ES:
Multiply and simplify. (9x4n)(4x8n)Problem 20ES:
Multiply and simplify.
20.
Problem 21ES:
Divide and simplify. 8982Problem 22ES:
Divide and simplify. 7872Problem 23ES:
Divide and simplify. 6362Problem 24ES:
Divide and simplify. 51053Problem 25ES:
Divide and simplify.
25.
Problem 26ES:
Divide and simplify.
26.
Problem 27ES:
Divide and simplify.
27.
Problem 28ES:
Divide and simplify. 2725Problem 29ES:
Divide and simplify.
29.
Problem 30ES:
Divide and simplify. y3ty8tProblem 31ES:
Divide and simplify. w11qw6qProblem 32ES:
Divide and simplify. m7tm5tProblem 33ES:
Divide and simplify. a3a2Problem 34ES:
Divide and simplify.
34.
Problem 35ES:
Divide and simplify. 27x7z59x2zProblem 36ES:
Divide and simplify.
36.
Problem 37ES:
Divide and simplify. 24x6y718x3y9Problem 38ES:
Divide and simplify.
38.
Problem 39ES:
Divide and simplify.
39.
Problem 40ES:
Divide and simplify. 14a14b518a2b10Problem 41ES:
Simplify. (43)2Problem 42ES:
Simplify.
42.
Problem 43ES:
Simplify. (84)3Problem 44ES:
Simplify. (93)4Problem 45ES:
Simplify. (64)3Problem 46ES:
Simplify. (78)5Problem 47ES:
Simplify. (5a2b2)3Problem 48ES:
Simplify. (2x3y4)5Problem 49ES:
Simplify. (3x3y6)2Problem 50ES:
Simplify. (3a2b5)3Problem 51ES:
Simplify.
51.
Problem 52ES:
Simplify. (8x4y5z2)4Problem 53ES:
Simplify.
53.
Problem 54ES:
Simplify. (5243)3Problem 55ES:
Simplify. (2x3y23y3)3Problem 56ES:
Simplify. (4x4y25x1y4)4Problem 57ES:
Simplify. (125a2b35a4b2)5Problem 58ES:
Simplify. (200x3y58x5y7)4Problem 59ES:
Simplify. (65y4z522y2z3)6Problem 60ES:
Simplify. (92x4y33x3y2)8Problem 61ES:
Simplify. [(2x4y2)3]2Problem 62ES:
Simplify. [(4a4b5)3]4Problem 63ES:
Simplify. (3a2b5a7b5)7Problem 64ES:
Simplify. (2x2y23x8y7)9Problem 65ES:
Simplify. 102a+110a+1Problem 66ES:
Simplify. 11b+1113b3Problem 67ES:
Simplify.
67.
Problem 68ES:
Simplify.
68.
Problem 69ES:
Simplify. 45x2a+4yb+19xa+3y2+bProblem 70ES:
Simplify. 28xb+5y4+c7xb5yc4Problem 71ES:
Simplify. (8x)4yProblem 72ES:
Simplify. (72p)3qProblem 73ES:
Simplify. (123a)2bProblem 74ES:
Simplify. (xa1)3bProblem 75ES:
Simplify. (5xa1yb+1)2cProblem 76ES:
Simplify. (4x3ay2b)5cProblem 77ES:
Simplify. 4x2a+3y2b12xa+1yb+1Problem 104ES:
Write the answers to Exercises 101-110 in scientific notation. Astronomy. The brightest star in the...Problem 106ES:
Write the answers to Exercises 101-110 in scientific notation. Orbit of Venus. The circumference C...Problem 107ES:
Write the answers to Exercises 101-110 in scientific notation.
107. Computer Calculations. The...Problem 108ES:
Write the answers to Exercises 101-110 in scientific notation. Amazon River Water Flow. The average...Problem 109ES:
Write the answers to Exercises 101-110 in scientific notation. Printing and Engraving. A ton of...Problem 110ES:
Write the answers to Exercises 101-110 in scientific notation.
110. Atoms in the Human Body. A...Problem 118ES:
Simplify.
118.
Problem 119ES:
Simplify.
119.
Browse All Chapters of This Textbook
Chapter R - Review Of Basic AlgebraChapter R.1 - The Set Of Real NumbersChapter R.2 - Operations With Real NumbersChapter R.3 - Exponential Notation And Order Of OperationsChapter R.4 - Introduction To Algebraic ExpressionsChapter R.5 - Equivalent Algebraic ExpressionsChapter R.6 - Simplifying Algebraic ExpressionsChapter R.7 - Properties Of Exponents And Scientific NotationChapter 1 - Solving Linear Equations And InequalitiesChapter 1.1 - Solving Equations
Chapter 1.2 - Formulas And ApplicationsChapter 1.3 - Applications And Problem SolvingChapter 1.4 - Sets, Inequalities, And Interval NotationChapter 1.5 - Intersections, Unions, And Compound InequalitiesChapter 1.6 - Absolute-value Equations And InequalitiesChapter 2 - Graphs, Functions, And ApplicationsChapter 2.1 - Graphs Of EquationsChapter 2.2 - Functions And GraphsChapter 2.3 - Finding Domain And RangeChapter 2.4 - Linear Functions: Graphs And SlopeChapter 2.5 - More On Graphing Linear EquationsChapter 2.6 - Finding Equations Of Lines; ApplicationsChapter 3 - Systems Of EquationsChapter 3.1 - Systems Of Equations In Two VariablesChapter 3.2 - Solving By SubstitutionChapter 3.3 - Solving By EliminationChapter 3.4 - Solving Applied Problems: Two EquationsChapter 3.5 - Systems Of Equations In Three VariablesChapter 3.6 - Solving Applied Problems: Three EquationsChapter 3.7 - Systems Of Inequalities In Two VariablesChapter 4 - Polynomials And Polynomial FunctionsChapter 4.1 - Introduction To Polynomials And Polynomial FunctionsChapter 4.2 - Multiplication Of PolynomialsChapter 4.3 - Introduction To FactoringChapter 4.4 - Factoring Trinomials: X2 + Bx + CChapter 4.5 - Factoring Trinomials: Ax2 + Bx + C, A ≠ 1Chapter 4.6 - Special FactoringChapter 4.7 - Factoring: A General StrategyChapter 4.8 - Applications Of Polynomial Equations And FunctionsChapter 5 - Rational Expressions, Equations, And FunctionsChapter 5.1 - Rational Expressions And Functions: Multiplying, Dividing, And SimplifyingChapter 5.2 - Lcms, Lcds, Addition, And SubtractionChapter 5.3 - Division Of PolynomialsChapter 5.4 - Complex Rational ExpressionsChapter 5.5 - Solving Rational EquationsChapter 5.6 - Applications And ProportionsChapter 5.7 - Formulas And ApplicationsChapter 5.8 - Variation And ApplicationsChapter 6 - Radical Expressions, Equations, And FunctionsChapter 6.1 - Radical Expressions And FunctionsChapter 6.2 - Rational Numbers As ExponentsChapter 6.3 - Simplifying Radical ExpressionsChapter 6.4 - Addition, Subtraction, And More MultiplicationChapter 6.5 - More On Division Of Radical ExpressionsChapter 6.6 - Solving Radical EquationsChapter 6.7 - Applications Involving Powers And RootsChapter 6.8 - The Complex NumbersChapter 7 - Quadratic Equations And FunctionsChapter 7.1 - The Basics Of Solving Quadratic EquationsChapter 7.2 - The Quadratic FormulaChapter 7.3 - Applications Involving Quadratic EquationsChapter 7.4 - More On Quadratic EquationsChapter 7.5 - Graphing F(x) = A(x − H)2 + KChapter 7.6 - Graphing F(x) = Ax2 + Bx + CChapter 7.7 - Mathematical Modeling With Quadratic FunctionsChapter 7.8 - Polynomial Inequalities And Rational InequalitiesChapter 8 - Exponential Functions And Logarithmic FunctionsChapter 8.1 - Exponential FunctionsChapter 8.2 - Composite Functions And Inverse FunctionsChapter 8.3 - Logarithmic FunctionsChapter 8.4 - Properties Of Logarithmic FunctionsChapter 8.5 - Natural Logarithmic FunctionsChapter 8.6 - Solving Exponential Equations And Logarithmic EquationsChapter 8.7 - Mathematical Modeling With Exponential Functions And Logarithmic FunctionsChapter 9 - Conic SectionsChapter 9.1 - Parabolas And CirclesChapter 9.2 - EllipsesChapter 9.3 - HyperbolasChapter 9.4 - Nonlinear Systems Of EquationsChapter A - Fraction NotationChapter B - Determinants And Cramer’s RuleChapter C - Elimination Using MatricesChapter D - The Algebra Of Functions
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The Bittinger Worktext Series recognizes that math hasn't changed, but students-and the way they learn math-have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy.
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