Final answer:
The number of different ways to press 5 buttons with repetition allowed is 3125.
Step-by-step explanation:
To find the number of different ways to press 5 buttons, we need to consider that repetition is allowed. This means that for each button, we have 5 choices (since there are 5 buttons). Therefore, the total number of possibilities is equal to 5 to the power of 5 (5^5), which is 3125.