How do you simplify 12 [10 - (5^2 - 6) 3 div6] using PEMDAS?

1 Answer
Feb 15, 2017

See the entire simplification process below:

Explanation:

First, we need to handle the inner Parenthesis and Exponents (PE), taking the Exponents first:

12[10 - (5^2 - 6)3 -: 6] = 12[10 - (25 - 6)3 -: 6] =

12[10 - (19)3 -: 6] = 12[10 - 19 xx 3 -: 6]

Next, within the brackets (another form of Parethesis) we need to handle the Multiplication and Division (MD) next, moving left to right:

12[10 - (19 xx 3) -: 6] = 12[10 - (57 -: 6)] = 12[10 - 9.5]

Then, within the brackets again we can deal with the Addition and Subtraction (AS):

12[10 - 9.5] = 12[0.5] = 12 xx 0.5 = 6