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Evaluate each expression.$$\frac{4|9-7|+|-7|}{6^{3}-211}$$
$$3$$
Algebra
Chapter 1
An Introduction to Algebra
Section 7
Exponents and Order of Operations
The Language of Algebra
Equations and Inequalities
Functions
Linear Functions
Quadratic Functions
Polynomials
Missouri State University
Campbell University
McMaster University
Lectures
01:32
In mathematics, the absolu…
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01:00
Evaluate each expression.<…
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Evaluate each expression..…
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evaluate each expression.<…
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Evaluate each expression. …
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and this problem we're being asked to evaluate to given expression. And if you know this, it's a fashion. So we must first evaluate the numerator and denominator separately and then reduce if possible. So let's start with the new murder. Well, I know this. I have grouping symbols. So within this first absolute value symbol, I have nine minus seven, which is just too. So we're left with four times the absolute value too. Plus well, then I have a number grouping simple which has the absolute value A negative seven, which is just positive. Seven plus seven it yet now in the denominator, I have exponents and subtraction. So according the order of operations, I must do the export at first. Well, remember, six to the third needs six times six times six, which is equal to 216. So I'm left with 2 16 minus 2 11 in the denominator. Now in the numerator, I still have this grouping symbol the absolute value of two. Well, that's just equal the positive too. So we're left with four times two plus seven all over on the dominator, we have 2 16 minus 2 11 which is equal to five. So now let's go back to the numerator. We have multiplication. In addition, so we must take care of the multiplication first and four times two is eight, so roll off with a plus seven divided by five. Well, April 7 is 15. So we have 15 divided by five and 15 to 5 by five is three. So the value of our given extra.
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