Lial - College Algebra 13th Edition

Ch. R - Review of Basic Concepts

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Lial 13th Edition

Ch. R - Review of Basic Concepts

Section R.4

Problem 57

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4r^-3/6r^-6

Problem 59

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 16m^-5n⁴/12m²n^-3

Problem 61

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. -4r^-2(r⁴)²

Problem 63

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (5a^-1)⁴(a²)^-3

Problem 65

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (p^-2)⁰/5p^-4

Problem 67

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (3pq)q²/6p²q⁴

Problem 69

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4a⁵(a^-1)³/(a^-2)^-2

Problem 71

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (5x)^-2(5x³)^-3/(5^-2x^-3)^-3

Problem 73

Evaluate each expression. 169^1/2

Problem 75

Evaluate each expression. 16^1/4

Problem 77

Evaluate each expression. (-64/27)^1/3

Problem 79

Evaluate each expression. (-4)^1/2

Problem 81

Match each expression in Column I with its equivalent expression in Column II.

Problem 83

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 8^2/3

Problem 85

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 100^3/2

Problem 87

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. -81^3/4

Problem 89

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (27/64)^-4/3

Problem 91

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (3^1/2)(3^3/2)

Problem 93

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (64^5/3)/(64^4/3)

Problem 95

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (y^7/3)(y^-4/3)

Problem 97

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (k^1/3)/(k^2/3)(k^-1)

Problem 98

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (z^3/4)/(z^5/4)(z^-2)

Problem 99

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (x^1/4y^2/5)²⁰/x²

Problem 101

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (x^2/3)²/(x²)^7/3

Problem 102

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (p³)^1/4/(p^5/4)²

Problem 105

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (p^1/5p^7/10p^1/2)/(p³)^-1/5

Problem 106

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (z^1/3z^-2/3z^1/6)/(z^-1/6)³

Problem 109

Calculate each value mentally. (0.25³)(400³)

Problem 110

Calculate each value mentally. (24²)(0.5²)

Problem 112

Calculate each value mentally. 15⁴/5⁴