An integer is randomly chosen from the integers 1 through 100, inclusive. What is the probability that the chosen integer is a perfect square or a perfect cube, but not both? Express your answer as a common fraction.
So do you find all the cubes and squares from 1-100 and then eliminate the ones that are both cubes and squares and then put it in \(\frac{result}{100}\)because there are 100 different total numbers?
Please explain with solution.
