if the product 4795795472k represents a perfect fourth power, then the smallest possible natural value for k is

2 answers

4795795472 = 2^4 * 13^2 * 17^3 * 19^2
so k must be 13^2 * 17 * 19^2 = _____
4795795472 = 2^4 x 13^2 x 17^3 x 19^2
Therefore, the smallest value for k has to be 13^2 x 17^1 x 19^2 = 1037153