Final answer:
The value of the expression is 17. Placing grouping symbols can change the value of the expression, but it is not possible to obtain a value of 45 using the given expression.
Step-by-step explanation:
To solve the expression 9+3*2²-1*4, we follow the order of operations (also known as PEMDAS or BIDMAS).
First, we calculate the value of 2², which is 2 raised to the power of 2, equal to 4.
Then, we multiply 3 by 4, giving us 12.
Next, we multiply 1 by 4, giving us 4.
Finally, we add all the resulting values together: 9 + 12 - 4 = 17.
(b) To change the value of the expression to 45, we need to place grouping symbols. One possible way is: (9 + 3) * (2 + 2) - 1 * 4. Now, we calculate each part:
(9 + 3) = 12
(2 + 2) = 4
12 * 4 = 48
48 - 1 * 4 = 48 - 4 = 44
Therefore, the value of the expression with the grouping symbols is 44, not 45. To achieve a value of 45, different grouping symbols or a different expression should be used.