How do you simplify this expression? (Pls list steps)
-12 ÷ 3 • (-8 + (-4)^2 - 6) ÷ 2
Just please help- (っ˘̩╭╮˘̩)っ
To simplify the given expression, follow these steps:
Step 1: Simplify within parentheses
-12 ÷ 3 • (-8 + (-4)^2 - 6) ÷ 2
-12 ÷ 3 • (-8 + 16 - 6) ÷ 2
Step 2: Perform exponentiation (-4^2)
-12 ÷ 3 • (-8 + 16 - 6) ÷ 2
-12 ÷ 3 • (-8 + 16 - 6) ÷ 2
-12 ÷ 3 • (-8 + 16 - 6) ÷ 2
-12 ÷ 3 • (-8 + 16 - 6) ÷ 2
-12 ÷ 3 • (-8 + 16 - 6) ÷ 2
-12 ÷ 3 • (16 + 8 - 6) ÷ 2
Step 3: Simplify addition and subtraction
-12 ÷ 3 • (16 + 8 - 6) ÷ 2
-12 ÷ 3 • (24 - 6) ÷ 2
-12 ÷ 3 • 18 ÷ 2
Step 4: Perform division
-12 ÷ 3 • 18 ÷ 2
-4 • 18 ÷ 2
Step 5: Perform multiplication
-4 • 18 ÷ 2
-72 ÷ 2
Step 6: Perform division
-72 ÷ 2
-36
Therefore, the simplified value of the expression -12 ÷ 3 • (-8 + (-4)^2 - 6) ÷ 2 is -36.
P E M D A S ... the order of operations
Parentheses, Exponents, Multiplication, Division, Addition , Subtraction
parentheses ... starting on the inside and working outwards
... -12 ÷ 3 • (-8 + 16 - 6) ÷ 2 ... -12 ÷ 3 • 2 ÷ 2
multiplication/division ... in order ... left to right
... -4 • 2 ÷ 2 ... -8 ÷ 2 ... -4