If order of an element of a group is n then show power m is equal to m iff m is a multiple of n

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If order of an element a of group (G,.) is n then a^m=e iff m is a multiple of n. If order of an element a of group (G,.) is n then a^m=e iff m is a multiple of n.
theorem group theory :-If order of element a of group G is n then, a^m=e, iff m is multiple of n theorem group theory :-If order of element a of group G is n then, a^m=e, iff m is multiple of n
a^(m) is a generator of group G of order n iff GCD(m,n)=1 a^(m) is a generator of group G of order n iff GCD(m,n)=1
A group of order n is cyclic iff it has an element of order n. A group of order n is cyclic iff it has an element of order n.
if G be finite group and a be any element of G s.t. o(a)=n them a^m=e iff n|m if G be finite group and a be any element of G s.t. o(a)=n them a^m=e iff n|m
Let G be a group, a ɛ G and O(a)=n. Then a^m=e iff n|m. Let G be a group, a ɛ G and O(a)=n. Then a^m=e iff n|m.
If the element If the element 'a' of a group G is of order n, then a^m =e iff n is a divisor of m || Group Theory.
If the element If the element 'a' of a group G is order n, then a^m= e iff n is a divisor of m