What is the simplified form of the expression?
5(14−2)2/2
72
360
30
60
30
To simplify the expression 5(14 - 2)²/2, we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, let's simplify what is inside the parentheses:
14 - 2 = 12.
Now, substitute the value back into the expression:
5(12)²/2.
Next, we solve the exponent:
12² = 144.
Now, substitute the value back into the expression:
5(144)/2.
Next, perform the multiplication:
5 * 144 = 720.
Now, substitute the value back into the expression:
720/2.
Finally, perform the division:
720/2 = 360.
Therefore, the simplified form of the expression 5(14 - 2)²/2 is 360.