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Problem

Evaluate each expression. $$ -\left(\frac{40-1^{3…

01:53

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124 Problem 125 Problem 126 Problem 127 Problem 128 Problem 129 Problem 130 Problem 131 Problem 132

Problem 108 Hard Difficulty

Evaluate each expression.
$$
\frac{\left(-6^{2}-2^{4} \cdot 2\right)+5}{-4-3}
$$

Answer

9

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Algebra

Elementary and Intermediate Algebra

Chapter 1

An Introduction to Algebra

Section 7

Exponents and Order of Operations

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Functions

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Video Transcript

in this problem for being asked to evaluate to given expression. If you know this, it's a fraction. Sumi must first evaluate the numerator and denominator separately and then reduce if we can in the yet. So in the numerator I know this. I have a grouping simple. And within that grouping simple. I have exponents, subtraction, multiplication. So I first have to take care of the exponents first. So our 1st 1 is six squared. Well, that means six times six, which is positive, 36. However, because of the negative in front of it, it's really going to be negative. 36 memory. Ahem. Minus. Well, then we have to To the four power. Well, that means two times two times two times two, which is 16. So we have minus 16 times two and in plus five Now in the denominator, we just have negative four minus three, which is negative. Seven. So now let's look back at the new Marie. There, inside our group in simple well, we have subtraction and multiplication. So according to the order of operations, we must do the multiplication next. Well, 16 times two is 32. So we're left with negative. 36 minus 32 and then plus five. And it's all getting divided by negative sub. And now we have to finish up that grouping. Simple. But it says negative 36 minus 32 which is negative. 68. So we're left with negative. 68 plus five and it's getting divided by negative seven. Well, negative. 68 plus five is negative. 63. So now we have negative. 63 divided by negative seven and negative 63 divided by negative seven is positive night. So what we've found is

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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$$

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