Use the properties of operations and rules for multiplying and dividing to solve (9)÷(5-4)×(7-9)×(-5)÷(7-2)

Using the properties of operations and the rules for multiplying and dividing, we can solve (9) ÷ (5-4) × (7-9) × (-5) ÷ (7-2) as follows:

First, we solve the expressions inside the parentheses:

(5-4) = 1
(7-9) = -2
(7-2) = 5

Next, we simplify the division operations:

(9) ÷ 1 = 9
-2 ÷ 5 = -0.4

Finally, we multiply all the results together:

9 × -2 × -5 × -0.4 = 72

Therefore, (9) ÷ (5-4) × (7-9) × (-5) ÷ (7-2) equals 72.

To solve the expression (9) ÷ (5-4) × (7-9) × (-5) ÷ (7-2), we will follow the order of operations, which states that we should perform multiplication and division before addition and subtraction.

Step 1: Simplify inside parentheses.
(9) ÷ (5-4) × (7-9) × (-5) ÷ (7-2)
(9) ÷ (1) × (-2) × (-5) ÷ (5)
(9) × (-2) × (-5) ÷ (5)

Step 2: Perform the multiplication and division from left to right.
(9) × (-2) = -18
-18 × (-5) = 90
90 ÷ (5) = 18

Therefore, the expression (9) ÷ (5-4) × (7-9) × (-5) ÷ (7-2) equals 18.