Question

How do you simplify `[( - 72) \div ( - 2) ] ^ { 2} - ( - 7) \cdot ( - 11)`?

Answer 1

`1,219`

Explanation:

In an question involving different calculations.. count the number of terms first. Simplify each term separately to get a single value.
Add or subtract in the last line.

Within each term: do:
Brackets first, then powers and roots, then multiply and divide.

`[color(red)(( - 72) \div ( - 2)) ] ^ { 2} - color(blue)(( - 7) xx ( - 11))" "larr` has 2 terms

=`color(red)([+36 ]^2 ) - color(blue)(( +77))`

=`color(red)(1,296) color(blue)(-77)`

=`1,219`