How do you simplify #(-2^3-8*2^2)/(80-:4^2-(4-|4-13|)#?
2 Answers
Use the PEMDAS method to simplify the fraction and get the answer.
Explanation:
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. There is a set of parentheses in the denominator, so let's solve for that:
We now have
Next is Exponents. We have a few of those:
We now have
Next is Multiplication. We have multiplication in the numerator:
Next is Division. We have division in the denominator:
From here, it's easy. Just add 5 and 5 to get 10 and subtract 32 from -8 to get -40. We now have
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Explanation:
Rather than blindly following PEDMAS, BODMAS, PEMDSA or any other variations, which often lead to incorrect answers, you will do better by knowing that the various operations are not equally powerful.
The strongest operations are the powers and roots and are therefore done FIRST.
Multiplication and division are done next and LAST are the additions and subtractions. ("OF" is a strong multiply)
If a weaker operation must be done first, parentheses are used to indicate this.
So, always identify and count the individual TERMS first.
Each term will lead to an answer and these answers are added or subtracted in the LAST step.
But there are 2 terms in the numerator and 2 in the denominator.
Evaluate each term separately, but they can be done at the same time.The entire expression is carried down from one line to next, but something is done to each term in each line.
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Ironically, the final operation in this case is 'division'.
