Question

Refer to Expression 1 and Expression 2.

Expression 1

6·7-3²·9+4³

Expression 2

5+4·2+6-2·2-1

(a) What is the value of Expression 1?
(b) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.

I'd very much appreciate if you showed your work.

Answer 1

Expression 1 is 25

6*7-3^2*9+4^3

First simplify all the exponents to get 6*7 - 9 * 9 + 64 and then multiply the two numbers to get 42 - 81 + 64 and just add = 25

For expression 2, if you put the parantheses around (5+4)*2+6-2*2-1, it'll be 19

(5+4)*2+6-2*2-1

9*2+6-2*2-1

18+6-4-1

24-5

19

Remember order of operations