Associative property is not followed in _____? Explain in details.

The associative property is a mathematical property that states that the way in which numbers are grouped together does not affect the result of an operation. In other words, the result of an operation is the same regardless of how the numbers are grouped. For example, (2 + 3) + 4 is the same as 2 + (3 + 4), because the result is always 9.

However, there are certain operations in which the associative property is not followed. These include:

1. Subtraction: The associative property does not hold for subtraction. For example, (10 - 5) - 2 is not the same as 10 - (5 - 2). The first expression gives 3, while the second expression gives 8.

2. Division: The associative property does not hold for division. For example, (10 ÷ 2) ÷ 5 is not the same as 10 ÷ (2 ÷ 5). The first expression gives 1, while the second expression gives 25/2.

3. Exponents: The associative property does not hold for exponents. For example, (2^3)^4 is not the same as 2^(3^4). The first expression gives 4096, while the second expression gives 2417851639228158830587503.

In all of these cases, the order in which the operations are performed changes the result. Therefore, the associative property does not hold.

Overall, while the associative property is a useful tool in many mathematical operations, it is important to be aware of the cases in which it does not hold.

Subtraction and Division