Blitzer - College Algebra 8th Edition

Ch. P - Fundamental Concepts of Algebra

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Blitzer 8th Edition

Ch. P - Fundamental Concepts of Algebra

Section P.2

Problem 5

Evaluate each exponential expression in Exercises 1–22. −2⁶

Problem 7

Evaluate each exponential expression in Exercises 1–22. (−3)⁰

Problem 11

Evaluate each exponential expression in Exercises 1–22. 4⁻³

Problem 13

Evaluate each exponential expression in Exercises 1–22. $2 squared times 2 cubed$

Problem 16

Evaluate each exponential expression in Exercises 1–22. $3 cubed squared$

Problem 18

Evaluate each exponential expression in Exercises 1–22. $3^{8} / 3^{4}$

Problem 21

Evaluate each exponential expression in Exercises 1–22. $2^{3} / 2^{7}$

Problem 23

Simplify each exponential expression in Exercises 23–64. x⁻²y

Problem 25

Simplify each exponential expression in Exercises 23–64. $x^{0} y^{5}$

Problem 29

Simplify each exponential expression in Exercises 23–64. $x^{- 5} \cdot x^{10}$

Problem 35

Simplify each exponential expression in Exercises 23–64. $x^{14} / x^{7}$

Problem 36

Add or subtract terms whenever possible. $4\sqrt{13x} - 6\sqrt{13x}$

Problem 38

Simplify each exponential expression in Exercises 23–64. $\frac{x^{30}}{x^{- 10}}$

Problem 41

Simplify each exponential expression in Exercises 23–64. $(- 4 / x)^{3}$

Problem 43

Simplify each exponential expression in Exercises 23–64. $(- 3 x^{2} y^{5})^{2}$

Problem 51

Simplify each exponential expression in Exercises 23–64. $\frac{25 a^{13} b^{4}}{- 5 a^{2} b^{3}}$

Problem 58

Simplify each exponential expression in Exercises 23–64. $\frac{10x^4 y^9}{30x^{12} y^{-3}}$

Problem 60

Simplify each exponential expression in Exercises 23–64. ${(\frac{3 x^{4}}{y})}^{- 3}$

Problem 66

Write each number in decimal notation without the use of exponents. $9.2 times 10 squared$

Problem 76

Write each number in decimal notation without the use of exponents. $- 7.00001 \times 10^{10}$

Problem 80

Write each number in scientific notation. 579,000,000,000,000,000

Problem 82

Write each number in scientific notation. −3829

Problem 84

Write each number in scientific notation. 0.0083

Problem 86

Write each number in scientific notation. −0.00000000405

Problem 91

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $(6.1 \times 10^{- 8}) (2 \times 10^{- 4})$

Problem 93

Problem 95

Problem 104

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 282,000,000,000/0.00141

Problem 106

Problem 107

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $\frac{(x^{-2} y)^{-3}}{(x^{2} y^{-1})^{3}}$