To solve the given multi-step problem, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, we solve the exponent, which means we evaluate 4^2:
4^2 = 4 * 4 = <<4^2=16>>16.
Next, we solve the division inside the parentheses:
(4-6)/2 = -2/2 = -1.
Now we substitute the values we found back into the expression:
(1/2)⋅16 - (-1)
Next, we multiply 1/2 by 16:
(1/2)⋅16 = 16/2 = 8.
Finally, we substitute the value found back into the expression:
8 - (-1).
When subtracting a negative number, it is equivalent to addition:
8 + 1 = <<8+1=9>>9.
Therefore, the solution to the given multi-step problem is 9.
Solve the multi-step problem (1/2)⋅4^2−(4−6)/2.
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