Problem 119 - Algebra and Trigonometry

Question

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

Step-by-Step Solution

Answer

The simplified expression is -0.5.

Step 1: 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 \(( -1 )^{2}-2|-4|\)/\(89-3 \cdot 25\).

Step 2: Execute Powers and Absolute Value

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

Step 3: Perform Multiplication

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

Step 4: Perform Subtraction

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

Step 5: Perform Division

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