How do you simplify #[78\div 13] ^ { 2} - 8\cdot 3#?

1 Answer
Dec 1, 2016

#12#

Explanation:

Remember PEMDAS(Order of Operations):

  1. Parentheses
  2. Exponents
  3. Multiplication or Division
  4. Addtion or Subtraction

First, solve anything within the parentheses.
That would be (#78 divide 13#),

#78 divide 13 = 6#

Now we are left with #6^2 -8times3#, the next step is to do do the exponents.

#6^2 = 6times6 = 36#

The equation up to this point would look like: #36 - 8times3#.

Then multiply 8 and 3 together, multiplication comes before subtraction.
#8 times 3# = 24

So we are left with: #36 - 24#
#36 - 24 = 12#