Suppose that G is a finite group generated by the two elements g and h, where theo rder of g is odd. Show that every element of G can be written in the formgm1 hn1 gm2 hn2 gmr hnrwith 1 r |G| and m1, n1, m2, n2, . . . mr, nr {1, 1}. Here |G| denotes the number of elements in G.