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Problem

Evaluate each expression. $$ \left[-9^{2}-(-8)^{2…

01:46

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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 59 Hard Difficulty

Evaluate each expression.
$$
(-1)^{9}\left[-7^{2}-(-2)^{2}\right]
$$

Answer

$$53$$

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Section 7

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Video Transcript

we're being asked to evaluate to give an expression. So the first thing I know this is a whole bunch of grouping symbols. So let's take a look at each Well, our first grouping symbol is around this negative one. But there's nothing going on within the grouping. Simple. So that's actually all set. Next we have this bracket, so we have to look within this bracket to figure out what we should do first. Well, when then the bracket. I do see parentheses around the negative, too. But there's nothing going on with that negative too. So nothing needs to be done. So the next thing that needs to be taken care of our the exponents, So the first thing we're going to do is take seven races to the second power. Remember, that negative is just gonna get brought down. So now we're gonna have negative one to the night number and open the bracket. We're gonna bring down the negative sign and then seven to the second power. Remember? Means seven times seven, which is for the night. You have negative for the night minus, and then we have negative too square. So within our bracket, we also have another exponents. We have to do the negative two squared. Well, remember, that means negative two times negative too, which is positive for So now we have negative one to the ninth. Open the bracket, then we have negative 49 minus four. Now inside the bracket, we just need to do negative 49 minus four, which is negative. 53. So we're gonna have negative one to the ninth Power times. Negative 53. So now we've evaluated inside are grouping symbols. Well, now we're just left with exponents. A multiplication. So we must first take care of the exploding. So the first thing we need to do is negative one to the knife power. So when we multiply a negative one by itself, nine times, you just get negative one. So now we have negative one times. Negative. 53. Well, negative. One times negative. 53 is positive. 53. So the value of our expression

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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