6-4(3-1)^2+16
To solve the expression, you need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, we start with the parentheses: (3-1) = 2.
Next, we calculate the exponent: 2^2 = 4.
Now we substitute the exponent into the expression: 6-4(4) + 16.
Next, we perform the multiplication: 4 multiplied by 4 = 16.
Now we substitute the product into the expression: 6-16 + 16.
Finally, we perform the addition and subtraction from left to right: 6 - 16 + 16 = -4.
Therefore, 6-4(3-1)^2+16 equals -4.
To simplify the expression 6-4(3-1)^2+16, follow this step-by-step process:
Step 1: Simplify the exponent. Start by evaluating the expression inside the parentheses (3-1):
3-1 = 2
Step 2: Square the result from step 1:
2^2 = 4
Step 3: Multiply the squared result from step 2 by 4:
4 * 4 = 16
Step 4: Multiply 4 by the expression in parentheses:
4 * (3-1) = 4 * 2 = 8
Step 5: Subtract the result from step 4 from 6:
6 - 8 = -2
Step 6: Add the result from step 5 to 16:
-2 + 16 = 14
Therefore, the simplified expression 6-4(3-1)^2+16 equals 14.
To simplify this expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) rule.
Step 1: Parentheses
In the expression, we have (3-1) raised to the power of 2. So, we need to solve the expression within the parentheses first.
3 - 1 = 2
Now, we have 2^2 + 16 left.
Step 2: Exponents
Next, we evaluate the exponent, which is 2^2.
2^2 = 4
Now, we have 4 + 16 left.
Step 3: Multiplication and Division
Next, we perform any multiplication and division operations from left to right.
There's no multiplication or division operation in the expression, so we move on to the next step.
Step 4: Addition and Subtraction
Finally, we perform any addition and subtraction operations from left to right.
4 + 16 = 20
Therefore, the simplified expression is 20.