Question

What is the value of (-9-(-4))^2/(6-8)^-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The value of the expression is calculated as follows:

(-9 - (-4))^2 / (6 - 8)^-2

First, solve the expression inside the parentheses:

(-9 - (-4)) = -9 + 4 = -5

Then, solve the expression inside the parenthesis with a negative exponent:

(6 - 8)^-2 = (-2)^-2 = 1 / (-2)^2 = 1 / 4

Now, substitute the calculated values back into the original expression:

(-5)^2 / (1/4) = 25 / (1/4)

To divide by a fraction, you multiply by its reciprocal:

25 / (1/4) = 25 * (4/1) = 25 * 4 = 100

Therefore, the value of the expression is 100.