Solve the multi-step problem 6−4(3−1)2+16 .(1 point)
To solve the multi-step problem 6 - 4(3 - 1)^2 + 16, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, let's simplify the expression inside the parentheses:
3 - 1 = 2.
Now, substitute this back into the original expression:
6 - 4(2)^2 + 16.
Next, calculate the exponent:
2^2 = 4.
Now, substitute this back into the expression:
6 - 4(4) + 16.
Next, perform the multiplication:
4 * 4 = 16.
Now, substitute this back into the expression:
6 - 16 + 16.
Next, perform the addition and subtraction from left to right:
6 - 16 + 16 = -10 + 16.
Finally, perform the addition:
-10 + 16 = 6.
Therefore, the solution to the multi-step problem 6 - 4(3 - 1)^2 + 16 is 6.