64^n+2:4^9n+2 помогите решить)

Question

64^n+2:4^9n+2 помогите решить)

Answer 1

64 ^ ( N + 2 ) :  4 ^ ( 9N + 2 ) = [ ( 4 ^ 4 ) ^ ( N + 2 ) ] ; [  4 ^ ( 9N + 2 ) ] =
= 4 ^ ( 4N + 8 ) : 4 ^ ( 9N + 2 ) = 4 ^ ( 4N + 8 - 9N - 2 ) = 4 ^ ( - 5N + 6 ) =
= ( 4 ^ 6 ) / ( 4 ^ 5N ) = 256 / ( 4 ^ 5N )