-9 to the second power - (-6) to the second power
To quote another Jiskha tutor:
"You will find here at Jiskha that long series of questions, posted with no evidence of effort or thought by the person posting, will not be answered. We will gladly respond to your future questions in which your thoughts are included."
(-9)^2 - (-6)^2
is in the format of (a^2 - b^2).
(a^2 - b^2) = (a+b)(a-b)
So, (-9)^2 - (-6)^2 = (-9 + -6)(-9 - -6)
= -15 * -3
= 45
So the answer is 45.
To solve this problem, we need to follow the order of operations, which states that we should perform operations within parentheses first, then exponents, and finally addition and subtraction.
Let's start by simplifying each expression within the parentheses:
-9^2 = -9 * -9 = 81
(-6)^2 = -6 * -6 = 36
Now we have:
81 - 36
To find the final result, we subtract 36 from 81:
81 - 36 = 45
So, -9 to the second power minus -6 to the second power is equal to 45.