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Problem

Evaluate each expression. $$ \frac{13^{2}-5^{2}}{…

01:10

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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 73 Hard Difficulty

Evaluate each expression.
$$
\frac{72-(2-2 \cdot 4)}{10^{2}-\left(9 \cdot 10+2^{2}\right)}
$$

Answer

$$13$$

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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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Video Transcript

and this problem we're being asked to evaluate to given expression. Well, because it's a fraction we must evaluate the numerator and denominator separately and then reduce at the end if possible. Well, if I first look at the new Marie there, I see. I have a grouping. Simple. And inside the grouping simple. I have subtraction and multiplication. So according the order of operations, I must do the multiplication first. Well, two times four is eight. So I'm gonna be love. Which 72 minus the quantity of two minuses Now in the denominator, I also have a grouping. Simple. So I must take care of the operations within that first. Well, I see a multiplication addition and an exploding. So I have to do the exponents first while two squared needs two times two, which is four. So I have 10 squared minus the quantity of nine times 10 plus four. Now back to the numerator. Now we can evaluate inside the grouping simple well to minus eight is equal to negative six. So we're gonna have 72 minus negative six now in the denominator in that grouping simple. We have multiplication in addition, so we must do the multiplication first, while nine times 10 is equal to 90. So we're gonna have 10 squared minus the quantity of 90 plus four. All right, looking back at the numerator. Well, we now have 72 minus negative six. While to do this, we need to add the opposite, so we're gonna add the opposite. So never words were just doing 72 plus six, which is 78 Now. In a denominator, we can evaluate that grouping Simple 90 plus four is 94. So now we're left with 10 squared minus 94. Now our new Marie, there's all set in the denominator. We haven't exponents and subtraction, so we must do the explaining first. Well, 10 squared means 10 times 10 which is 100. So we're left with 78 over 100 minus 94. Well, in the denominator, we can do 100 minus 94 which is equal to six. And now we're left with 78 divided by six, which is just 13. So what we've found is the value of our given the

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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