Final answer:
The original odds are boosted by 5%, resulting in a 75 increase in the odds. Subtracting that from 1500 gives new odds of 1 in 1425.
Step-by-step explanation:
If the original chance to get an item is 1 in 1500, and it's boosted by 5%, we first need to calculate 5% of the original odds. Five percent of 1500 is 75, so the boost increases your odds by 75. To find the new odds, we subtract 75 from 1500, giving us 1425. Therefore, the new odds of getting the item after the power up are 1 in 1425.