Final answer:
To evaluate 16 - [14 - (-2) - (-6)], simplify each step using the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). The final answer is 6.
Step-by-step explanation:
To evaluate the expression 16 - [14 - (-2) - (-6)], we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Let's simplify step by step:
- The expression inside the innermost parentheses is -2 - (-6), which is equal to -2 + 6 = 4.
- Now we simplify the expression inside the brackets, which is 14 - 4 = 10.
- Finally, we substitute the value of the expression inside the brackets into the original expression, giving us 16 - 10 = 6.
Learn more about Order of Operations