(a*a^(4m+5)/a^(m-2)
(a*a^(4m+5)/a^(m-2) =
a^[4m + 5 + 1 ] / a^[m - 2] =
a^[4m + 6] / a^[m - 2] =
a^ [( 4m + 6) - (m - 2) ] =
a^[3m + 8 ]