8)
Simplify.
-2(3)2 - 8 ÷ 2 + 6
A) -18
B) -16
C) -7
D) 7
um I it is b
by PEMDAS, none of the choices is correct
Multiplication ... -12 - 8 ÷ 2 + 6
Division ... -12 - 4 + 6
Addition ... -12 + 2
Subtraction ... -10
The 2 behind the 3 is a exponent.
Exponentiation ... -2(9) - 8 ÷ 2 + 6
Multiplication ... -18 - 8 ÷ 2 + 6
Division ... -18 - 4 + 6
Addition ... -18 + 2
Subtraction ... -16
To simplify the given expression, we can follow the order of operations. The order of operations states that we should first calculate any operations inside parentheses, then perform any multiplication or division from left to right, and finally perform any addition or subtraction from left to right.
Let's simplify the expression step by step:
-2(3)2 - 8 ÷ 2 + 6
Step 1: Simplify the expression inside the parentheses first:
-2 * 3^2 - 8 ÷ 2 + 6
Step 2: Following the exponentiation rule (performing the operation of exponentiation first):
-2 * 9 - 8 ÷ 2 + 6
Step 3: Perform multiplication and division from left to right:
-18 - 8 ÷ 2 + 6
Step 4: Perform addition and subtraction from left to right:
-18 - 4 + 6
Step 5: Continue performing addition and subtraction:
-22 + 6
Step 6: Perform the final addition:
-16
Therefore, the simplified expression is -16. So, your answer is option B) -16.