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

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:

$12 \left[10 - \left({5}^{2} - 6\right) 3 \div 6\right] = 12 \left[10 - \left(25 - 6\right) 3 \div 6\right] =$

$12 \left[10 - \left(19\right) 3 \div 6\right] = 12 \left[10 - 19 \times 3 \div 6\right]$

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

$12 \left[10 - \left(19 \times 3\right) \div 6\right] = 12 \left[10 - \left(57 \div 6\right)\right] = 12 \left[10 - 9.5\right]$

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

$12 \left[10 - 9.5\right] = 12 \left[0.5\right] = 12 \times 0.5 = 6$