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Evaluate each expression.$$\frac{18-[2+(1-6)]}{16-(-4)^{2}}$$
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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
McMaster University
Baylor University
University of Michigan - Ann Arbor
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We're being asked to evaluate the given expression. And because it's a fraction, we must first evaluate the numerator and denominator separately, and then we'll reduce, if possible. So in the new Marie there I see. I have a couple of grouping symbols. So remember, we always want to start with their innermost grouping. Simple, which is one minus six. Well, that's just equal to negative five. So we're left with 18 minus the quantity of two, plus negative five. Now, in the denominator, we have subtraction and the exploded. So according to the order of operations, we must do the exponents first. Well, that means we have to do negative four times negative for which is positive. 16. So, in the denominator, we're left with 16 minus 16. Well, if I go back to the numerator, we still have that grouping simple. Well, within the grouping simple. We have two plus negative five, which is equal to negative three. So now we're just gonna peel off with 18 minus negative. Three all over on the denominator, we have 16 minus 16 which is zero. Well, I'm gonna stop you right there. We have a value in the numerator getting divided by zero. But we can't have zero in denominator infraction because we can't divide by zero. So what that means is that the value of our given expression is a new
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