Answer:
- 25
- (5+4)*2 +6 -2*2 -1
Explanation:
1. Per the order of operations, do the exponentiation first, then the multiplication, then the addition:
= 6*7 -9*9 +64
= 42 -81 +64
= -39 +64
= 25
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2. The expression given evaluates to ...
5 +4*2 +6 -2*2 -1 = 5 + 8 + 6 - 4 - 1 = 14
If you realize that the last three terms add to 1 and the first two terms can be rearranged to (5 +4)*2 = 18, then you can see that a sum of 19 is easily achievable. Parentheses are needed only around the first two numbers:
(5 +4)*2 +6 -2*2 -1 = 19
According to the order of operations, this is ...
9*2 +6 -2*2 -1 . . . . . operations inside parentheses are first
= 18 +6 -4 -1 . . . . . . multiplication is next
= 24 -4 -1 . . . . . . . . . sums are carried out left to right
= 20 -1
= 19
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The attachments show these expressions evaluated using the Google calculator. It can be relied upon to follow the order of operations exactly.