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Chapter 0: Problem 119

Use the order of operations to simplify each expression. $$\frac{(5-6)^{2}-2|3-7|}{89-3 \cdot 5^{2}}$$

Short Answer

Expert verified
The simplified expression is -0.5.

Step by step solution

01

Solve Inside the Brackets and Absolute Value

Solve for values inside the parenthesis and the absolute value sign first. The result after this step would be \(( -1 )^{2}-2|-4|\)/\(89-3 \cdot 25\).
02

Execute Powers and Absolute Value

In the next step, calculate the power of -1 and absolute value. The result would be \(1-2 \cdot 4\)/\(89-75\).
03

Perform Multiplication

Next, perform the multiplication operation. The result would be \(1-8\)/\(14\).
04

Perform Subtraction

Now that we've simplified the expression as much as possible, perform the subtraction operation. The result would be \(-7/14\).
05

Perform Division

Lastly, carry out the division operation.The end result would be -0.5.

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Most popular questions from this chapter

Determine whether each statement is trueor false. If the statement is false, make the necessary change(s) toproduce a true statement. $$x^{3}-64=(x+4)\left(x^{2}+4 x-16\right)$$

Simplify by reducing the index of the radical. $$ \sqrt[9]{x^{6}} $$

will help you prepare for the material covered in the first section of the next chapter. If \(y=4-x^{2},\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3 .

Factor completely. $$x^{4}-y^{4}-2 x^{3} y+2 x y^{3}$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{4} \cdot \frac{8}{15}$$
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