Chapter 3

Fundamentals of Mathematics · 453 exercises

Problem 71

Find the value of \(2^{4}\).

4 step solution

Problem 71

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt[3]{216}\)

5 step solution

Problem 72

Find the greatest common factor of each collection of numbers. 18,48 , and 72

3 step solution

Problem 72

Find the prime factorization of each of the whole numbers. 2,025

6 step solution

Problem 72

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt[7]{1}\)

4 step solution

Problem 73

Find the greatest common factor of each collection of numbers. \(147,189,\) and 315

3 step solution

Problem 73

Find the prime factorization of each of the whole numbers. 148,225

7 step solution

Problem 73

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{400}\)

4 step solution

Problem 74

Find the greatest common factor of each collection of numbers. \(64,72,\) and 108

4 step solution

Problem 74

Round 26,584 to the nearest ten.

3 step solution

Problem 74

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{900}\)

4 step solution

Problem 75

Find the greatest common factor of each collection of numbers. \(275,297,\) and 539

5 step solution

Problem 75

How much bigger is 106 than \(79 ?\)

4 step solution

Problem 75

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{10,000}\)

6 step solution

Problem 76

Find the least common multiple of each collection of numbers. 5 and 15

5 step solution

Problem 76

True or false? Zero divided by any nonzero whole number is zero.

3 step solution

Problem 76

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{324}\)

4 step solution

Problem 77

Find the least common multiple of each collection of numbers. 6 and 14

5 step solution

Problem 77

Find the quotient. \(10,584 \div 126\).

6 step solution

Problem 77

Find the roots (using your knowledge of multiplication). Use a calculator to check each result. \(\sqrt{3,600}\)

4 step solution

Problem 78

Find the least common multiple of each collection of numbers. 10 and 15

5 step solution

Problem 78

Find the value of \(\sqrt{121}-\sqrt{81}+6^{2} \div 3\).

5 step solution

Problem 78

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt{676}\)

4 step solution

Problem 79

Find the least common multiple of each collection of numbers. 36 and 90

6 step solution

Problem 79

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt{1,156}\)

6 step solution

Problem 80

Find the least common multiple of each collection of numbers. 42 and 54

4 step solution

Problem 80

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt{46,225}\)

5 step solution

Problem 81

Find the least common multiple of each collection of numbers. \(8,12,\) and 20

3 step solution

Problem 81

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt{17,288,964}\)

4 step solution

Problem 82

Find the least common multiple of each collection of numbers. \(40,50,\) and 180

5 step solution

Problem 82

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[3]{3,375}\)

4 step solution

Problem 83

Find the least common multiple of each collection of numbers. \(135,147,\) and 324

3 step solution

Problem 83

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[4]{331,776}\)

3 step solution

Problem 84

Find the least common multiple of each collection of numbers. 108,144 , and 324

5 step solution

Problem 84

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[8]{5,764,801}\)

4 step solution

Problem 85

Find the least common multiple of each collection of numbers. \(5,18,25,\) and 30

5 step solution

Problem 85

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[12]{16,777,216}\)

5 step solution

Problem 86

Find the least common multiple of each collection of numbers. \(12,15,18, \text { and } 20\)

3 step solution

Problem 86

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[8]{16,777,216}\)

4 step solution

Problem 87

Find all divisors of 24 .

7 step solution

Problem 87

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[10]{9,765,625}\)

3 step solution

Problem 88

Find all factors of 24 .

4 step solution

Problem 88

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[4]{160,000}\)

4 step solution

Problem 89

Write all divisors of \(2^{3} \cdot 5^{2} \cdot 7\).

5 step solution

Problem 89

Use a calculator with the keys \(\sqrt{x}, y^{x}\), and \(1 / x\) to find each of the values. \(\sqrt[3]{531,441}\)

3 step solution

Problem 90

Write all divisors of \(6 \cdot 8^{2} \cdot 10^{3}\).

7 step solution

Problem 90

Use the numbers \(3,8,\) and 9 to illustrate the associative property of addition.

5 step solution

Problem 91

Does 7 divide \(5^{3} \cdot 6^{4} \cdot 7^{2} \cdot 8^{5} ?\)

2 step solution

Problem 91

In the multiplication \(8 \cdot 4=32,\) specify the name given to the numbers 8 and 4 .

3 step solution

Problem 92

Does 13 divide \(8^{3} \cdot 10^{2} \cdot 11^{4} \cdot 13^{2} \cdot 15 ?\)

2 step solution

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