Final answer:
To solve the innermost parentheses, calculate -2 - 8 which equals -10, and then 14 - (-10) which equals 24. The expression simplifies to -6 - 24 x A².
Step-by-step explanation:
To solve the expression 6-12-(14-(-2-8) x A²) step by step, we must follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right). Let's break it down:
First, simplify the expression inside the innermost parentheses:
-2-8 = -10
Now, substitute the simplified expression back into the original expression:
6-12-(14-(-10) x A²)
Next, solve the expression inside the parentheses:
14-(-10) = 24
Substitute the result back into the expression:
6-12-24 x A²
And finally, perform the multiplication:
24 x A² = 24A²
Substituting the result back into the expression:
6-12-24A²
Now, we can continue simplifying:
6-12 = -6
Substituting the result back into the expression:
-6-24A²
So, the final simplified expression is -6-24A².