6 - 4 ( 3-1) * ( 3-1) + 16=
To solve this expression, we will follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Starting with the parentheses:
6 - 4 * (2) * (2) + 16
Next, the multiplication:
6 - 4 * 4 + 16
Then the subtraction:
6 - 16 + 16
Finally, the addition:
-10 + 16
The final result is 6.
To solve this expression step-by-step, we follow the order of operations, which is commonly known as PEMDAS:
P - Parentheses (simplify expressions inside parentheses)
E - Exponents (simplify exponents or powers)
MD - Multiplication and Division (perform multiplication and division from left to right)
AS - Addition and Subtraction (perform addition and subtraction from left to right)
Let's evaluate each step:
Step 1: Simplify inside the parentheses
6 - 4 ( 3-1) * ( 3-1) + 16
= 6 - 4 (2) * (2) + 16
Step 2: Perform the multiplication inside the parentheses
= 6 - 4 * 2 * 2 + 16
Step 3: Perform multiplication from left to right
= 6 - 8 * 2 + 16
Step 4: Perform the remaining multiplication
= 6 - 16 + 16
Step 5: Perform addition and subtraction from left to right
= -10 + 16
Step 6: Perform the addition
= 6
Therefore, 6 - 4 ( 3-1) * ( 3-1) + 16 equals 6.
To correctly solve an expression like this, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's break down the expression step by step.
First, let's simplify within the parentheses:
3 - 1 = 2
Now, let's substitute this simplified value back into the expression:
6 - 4 * 2 * 2 + 16
Next, we perform the multiplication:
4 * 2 = 8
2 * 2 = 4
Now, let's substitute these simplified values back into the expression:
6 - 8 * 4 + 16
Continuing with the multiplication:
8 * 4 = 32
Now, let's substitute this simplified value back into the expression:
6 - 32 + 16
Next, let's perform the subtraction and addition from left to right:
6 - 32 = -26
-26 + 16 = -10
Therefore, the final answer to the expression 6 - 4(3-1)(3-1) + 16 is -10.