How do you simplify {4(3−7)+12}2−4−33 using PEMDAS?

2 Answers
Larissa F.
Feb 17, 2017

The answer is -31.

Explanation:

Step 1: (4(3−7)+12)2−4−33
Step 2: (4⋅(−4)+12)2−4−27
Step 3: (−16+12)2−4−27
Step 4: (−4)2−4−27
Step 5: −4−27=−31

smendyka
Feb 17, 2017

See the entire simplification process below:

Explanation:

First, we need to process the inner Parenthesis (P) containing (3−7)=−4:

{4×−4+12}2−4−33

Next, we can process the Multiplication (M) within the brackets or Parenthesis (P): 4×−4=−16

{−16+12}2−4−33

Then we can process the Addition (A) within the brackets (P) {−16+12=−4}

{−4}2−4−33

Next, we can process the Exponents (E): {−4}2=16 and 33=27:

16−4−27

The we can process the Division (D) - 16−4=−4:

−4−27

Now, we can complete the simplification by processing the Subtraction (S):

−4−27=−31

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