What is #4\times ( 13+ 8)- 8^{2} -:( 2\times 4)#?

1 Answer
Sep 22, 2016

#76#

Explanation:

Always count the number of terms first.
Each term simplifies to a single answer and these are added or subtracted in the last step.

Within each term the normal order of operation applies.
Brackets, then:
the strongest operations of powers and roots
Multiply and divide
You may do more than one calculation in a line.

#[4xx color(tomato)((13+ 8))]- [color(blue)(8^2) div color(lime)((2xx 4))]" "larr# there are 2 terms

=#" "4xx color(tomato)(21)color(white)(xxxxx)- color(blue)(64) div color(lime)(8)" "larr# keep the terms separate

=#" "84 color(white)(xxxxxxxx) -8#

=#" "76#