Question 1009055: If the product 2352k is a perfect fifth power, what is the smallest possible value of k, where k is a positive integer? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Since 2352 factors out to be
2^4 * 3 * 7^2, you would need k to be number that makes all of those factors into fifth powers...thus
k = 2 * 3^4 * 7^3 = 55566
