Problema Solution
What number greater than 1 is a perfect cube, a perfect eleventh power and a perfect sixty-first power?
Answer provided by our tutors
the least common factor of 3, 11 and 6 is 66 thus we have
2^66 = (2^22)^3
2^66 = (2^6)^11
2^66 = (2^11)^6
such number is 2^66.