Question #1d1ca

1 Answer
Aug 29, 2017

36

Explanation:

The best way to answer a question like this is by doing it step by step.

Here's the original expression:
#-{-2[(-3+7)-(-2)][-3(-2+1)]}#

We will start from the inner-most parenthesis as dictated by the order of operations.

Here, we add -3 and 7 to get 4, and we add -2 and 1 to get -1.

#-{-2[(color(red)4)-(-2)][-3(color(red)-color(red)1)]}#

We continue working outwards from the inner-most parentheses.

Here, we subtract -2 from 4 to get 6, and multiply -3 by -1 to get 3.

#-{-2[color(red)6][color(red)3]}#

Next, we multiply -2, 6, and 3 together to get -36.

#-{color(red)-color(red)36}#

Finally, we multiply -36 by -1 to get 36.

#color(red)36#