Summed exponents for a 8- digit positive decimal integer

[K Sengupta]

ABCDEFGF is an 8-digit positive decimal integer, where each letter represents a different decimal digit from 0 to 9. The digits 1 and 9 do not appear. The nonzero even digits appear in ascending order, and the odd digits appear in descending order in ABCDEFGF. None of A and E can be zero.

What are the possible solution(s) to this cryptarithmetic equation?

ABCDEFGF = A^E + B^E + C^E + D^E + E^E + F^E + G^E + F^E

 

[mabs239]

Oh no!
I have been looking the page off-line as archive where the equation was read as:
ABCDEFGF = AE + BE + CE + DE + EE + FE + GE + FE

Seems difficult

 

[davee123]

Spoiler

A=2 B=4 C=6 D=7 E=8 F=0 G=5

DaveE