Math

Question Determine if (9)2-(-9)^{2} is positive or negative, then evaluate on calculator.

Studdy Solution

STEP 1

Assumptions
1. The expression given is (9)2-(-9)^{2}.
2. We are following the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMDAS.

STEP 2

First, we need to observe the expression and determine whether the answer should be positive or negative.
The expression is (9)2-(-9)^{2}. Here, (9)2(-9)^{2} is a square of a negative number, which will yield a positive result. However, there is a negative sign in front of the parentheses, which will make the overall result negative.
So, by observation, the answer should be negative.

STEP 3

Now, let's evaluate the expression on a calculator.
First, calculate the square of 9-9.
(9)2(-9)^{2}

STEP 4

Calculate the square of 9-9.
(9)2=81(-9)^{2} = 81

STEP 5

Now, multiply the result by 1-1 to account for the negative sign in front of the parentheses.
1times81-1 \\times 81

STEP 6

Calculate the final result.
1times81=81-1 \\times 81 = -81
The result of the expression (9)2-(-9)^{2} is 81-81.

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