How do you evaluate #8- 2[ 5- ( 12- 6) ^ { 2} ]#?

1 Answer
Jun 17, 2017

#70#

Explanation:

When solving, you have to follow the order of operations.
Calculations are done from left to right, for convention.

However, you must always first work out the inside of the parenthesis.

Then,carry out the multiplication/division.
Lastly, carry out the addition/subtraction.

#8−2[5−(12−6)^2]#

#=8-2[5-(color(red)6)^2]#

#=8-2[5-color(red)(36)]#

#=8-2[color(red)(-31)]#

#=8-(color(red)(-62))#

#=70#