1 Answers
In number theory, two positive integers a and b are said to be multiplicatively independent if their only common integer power is 1. That is, for integers n and m, a n = b m {\displaystyle a^{n}=b^{m}} implies n = m = 0 {\displaystyle n=m=0}. Two integers which are not multiplicatively independent are said to be multiplicatively dependent.
As examples, 36 and 216 are multiplicatively dependent since 36 3 = 3 = 2 = 216 2 {\displaystyle 36^{3}=^{3}=^{2}=216^{2}} , whereas 6 and 12 are multiplicatively independent.
4 views
Answered