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Evaluate each expression.$$\frac{|6-4|+2|-4|}{226-6^{3}}$$
$$1$$
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
Oregon State University
McMaster University
Harvey Mudd College
Lectures
01:32
In mathematics, the absolu…
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00:24
Evaluate each expression.<…
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evaluate each expression.<…
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Evaluate each expression. …
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and this problem for being asked to evaluate to given expression. Well, if you know this, it's a fraction. So you must evaluate the numerator and denominator separately. So let's look at the numerator. Well, the first thing I see is the two absolute value symbols. So within their first absolute value symbol, we have six minus four, which is equal to two. So I have the absolute value of two plus two and then my other grouping simple. I have just in absolute value, a negative for which is positive for so I'm gonna have two times for now in the denominator, we have subtraction and we have an expert, so we must take care of the exponent first. Well, remember, six to the third means six times six times six, which is equal to 216. So in the denominator, we're gonna have to 26 minus 2 60 Now, looking back at their new Marie there, I still have a gripping symbol with the absolute value of two. Well, that's simply just positive too. So we're left with two plus two times for and then denominator, we have 2 26 minus 2 16 which is equal to 10. So now we have to look at the numerator. Well, we have addition a multiplication. So we must take care of the multiplication first and two times four is a sore left with two plus eight all over town. Well, in the numerator, we now have two policy, which is Ted. So we have 10 divided by 10 which is just one. So the value of our given the
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