how to simplify -12 divided by 3•(-8+(-4) to the seccond power-6)+2
-12/(3(-8+(-4)^2-6)+2)
-12/(3(-8+16-6)+2)
-12/(3(2)+2)
-12/8
-3/2
To simplify the expression -12 ÷ 3 • (-8 + (-4)^2 - 6) + 2, follow these steps:
Step 1: Simplify within parentheses:
The expression within the parentheses is (-8 + (-4)^2 - 6):
-4^2 = -4 × -4 = 16
So, (-8 + (-4)^2 - 6) becomes (-8 + 16 - 6).
Simplifying further, we get:
(-8 + 16 - 6) = 8 - 6 = 2
Therefore, the expression becomes -12 ÷ 3 • 2 + 2.
Step 2: Solve multiplication and division from left to right:
Starting from the left, perform the division operation:
-12 ÷ 3 = -4.
Now, substitute -4 back into the expression:
-4 • 2 = -8.
Thus, the expression simplifies to -8 + 2.
Step 3: Perform addition and subtraction from left to right:
-8 + 2 = -6.
Therefore, the simplified form of the expression is -6.
To simplify the expression -12 divided by 3 • (-8 + (-4))^2 - 6 + 2, we follow the order of operations (PEMDAS/BODMAS) to evaluate the expression step by step.
Step 1: Simplify inside the parentheses.
-8 + (-4) = -8 - 4 = -12
The expression becomes: -12 divided by 3 • (-12)^2 - 6 + 2
Step 2: Evaluate the exponent.
(-12)^2 = (-12) • (-12) = 144
The expression becomes: -12 divided by 3 • 144 - 6 + 2
Step 3: Perform multiplication and division from left to right.
-12 divided by 3 = -4
The expression becomes: -4 • 144 - 6 + 2
Step 4: Perform the multiplication operation.
-4 • 144 = -576
The expression becomes: -576 - 6 + 2
Step 5: Perform addition and subtraction from left to right.
-576 - 6 = -582
-582 + 2 = -580
Therefore, the simplified expression is -580.