What is the simplified form of the expression?
5(14−2)2/2
72
360
30
30
To simplify the expression 5(14−2)2/2, we can follow the order of operations, which is parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
First, let's simplify the expression within the parentheses:
14 - 2 = 12
Now, we substitute this result back into the expression:
5(12)2/2
Next, let's simplify the exponent:
12^2 = 144
Our expression becomes:
5(144)/2
Now, let's simplify the multiplication:
5 * 144 = 720
Finally, let's simplify the division:
720 / 2 = 360
Therefore, the simplified form of the expression 5(14−2)2/2 is 360.