5raise by 2009multiply by 2raise by 2010times24

To solve this mathematical expression, follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. "5 raise by 2009" means to raise 5 to the power of 2009. This can be found by multiplying 5 by itself 2009 times.
Solution: 5^2009

2. "Multiply by 2" means to take the result from step 1 and multiply it by 2.
Solution: (5^2009) * 2

3. "Raise by 2010" means to raise the result from step 2 to the power of 2010. This is calculated by multiplying the value by itself 2010 times.
Solution: ((5^2009) * 2)^2010

4. "Times 24" means to multiply the result from step 3 by 24.
Solution: (((5^2009) * 2)^2010) * 24

By following these steps, you can calculate the final result by substituting the values into the expression. However, it's important to note that the resulting number will be extremely large and may require specialized tools or software to handle such large calculations.