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Problem

Evaluate each expression. $$ \frac{(6-5)^{8}-1}{(…

01:11

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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 69 Hard Difficulty

Evaluate each expression.
$$
\frac{2 \cdot 2^{5}-60+(-4)}{5^{4}-(-4)(-5)}
$$

Answer

$$0$$

Related Courses

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 for being asked to evaluate the given expression And because it's a fraction, what we need to do first is evaluate the numerator and denominator separately and then we'll reduce if we can't well, in the numerator. What we have to do first is our exponents. Well, we have to to the fifth, which means we need to multiply two by itself five times. Well, that's gonna be equal to 32. So we're gonna be left with two times 32 minus 60 plus negative for now. In the denominator, according to our order of operations, we also have to take care of our exponents, which is five to the fourth. Well, when I multiply five by itself, four times you get 625. So we have 6 25 minus negative, four times negative five. So now let's look back at the new Marie there. Why see multiplication, subtraction and addition. So I have to do the multiplication next. Well, two times 32 is 64. So roll off with 64 minus 60 plus negative for now. In our denominator, I see subtraction and multiplication. So we also have to do the multiplication necks. Well, negative. Four times negative. Five is positive. 20. So roll off with 6 25 minus 20. Now, in the numerator, we have addition, subtraction left. So we have to go from left to right. So first we need to do 64 minus 60 which is four. I'm gonna go to the top of my screen, covering out of room to run off with four plus negative for and in the denominator. We just have 6 25 minus 20 which is 605 All right, Well, in the new murder, we just have four plus negative four, which is zero and never left with zero divided by 65. Well, zero divided by 65. It's just zero. So the value of our race

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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