Simplify the expression
-12 / 3 x (-8 + (-4)^2 - 6) + 2
I need it to be step by step
I don't understand it and I need help! PLEASE HELP ME!!!!
I got help from brainly so here is the answer and steps to solve it!
We use PEMDAS to solve this,
so P stands for parentheses, so that's where we start.
We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses
-12/3*(-8+16-6)+2
-12/3*(2)+2
Now we divide as in Division in PEMDAS.
-4*2+2
Now we multiply as in Multiplication in PEMDAS.
-8+2
Now we add as in A for Addition
-6
doesn't multiplication come before division hence the name pemdas
Step 1: Start by simplifying the expression within the parentheses: (-4)^2 = 16.
-12 / 3 x (-8 + 16 - 6) + 2
Step 2: Simplify inside the parentheses: -8 + 16 - 6 = 2.
-12 / 3 x 2 + 2
Step 3: Perform the division operation: -12 divided by 3 equals -4.
-4 x 2 + 2
Step 4: Perform the multiplication operation: -4 times 2 equals -8.
-8 + 2
Step 5: Perform the addition operation: -8 plus 2 equals -6.
Therefore, the simplified expression is -6.
Sure, I can help you with that! To simplify the expression step by step, we'll follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Step 1: Start by simplifying the expression within parentheses:
-4 squared is (-4) x (-4) = 16
Now the expression becomes:
-12 / 3 x (-8 + 16 - 6) + 2
Step 2: Next, perform any addition or subtraction within the expression:
-8 + 16 - 6 = 8
Now the expression becomes:
-12 / 3 x 8 + 2
Step 3: Evaluate the multiplication and division from left to right:
-12 divided by 3 = -4
Now the expression becomes:
-4 x 8 + 2
Step 4: Finally, perform the remaining multiplication and addition/subtraction:
-4 x 8 = -32
Now the expression becomes:
-32 + 2
Step 5: Perform the addition:
-32 + 2 = -30
So, the simplified expression is -30.
I hope this step-by-step explanation helps you understand how to simplify the expression. Let me know if you have any further questions!