Simplify the expression by steps -12/3*(-3+(-4)^2-6)+2
Well, we all know that (-4)^2 = 16
-12/3*(-3+16-6)+2
so
-12/3*(7)+2
-4*(7) + 2
-28 + 2
-26
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To simplify the expression -12/3*(-3+(-4)^2-6)+2, we need to follow the order of operations (also known as PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Step 1: Simplify within parentheses (-3+(-4)^2-6)
-4^2 simplifies to (-4)*(-4), which equals 16
So, the expression becomes -3+16-6
Step 2: Simplify addition and subtraction from left to right (-3+16-6)
-3 + 16 = 13
So, the expression simplifies to 13-6
Step 3: Simplify the remaining addition and subtraction (13-6)
13 - 6 = 7
Step 4: Combine the remaining terms with multiplication and division from left to right
Since there's only one term left, the expression simplifies to:
-12/3 * 7
Step 5: Perform the multiplication and division from left to right (-12/3 * 7)
-12 divided by 3 equals -4
-4 multiplied by 7 equals -28
So, the final simplified expression is -28 + 2, which equals -26.