[  (3^10 -6^10)/(6^10-12^10 ]^1/5 =

=[ (3^10-2^10*3^10) / (2^10*3^10-4^10*3^10) ]^1/5=

=[  3^10(1-2^10)/3^10(2^10-2^10*2^10) ]^1/5=

=[ (1-2^10)/2^10(1-2^10) ] ^1/5=

=(1/2^10)^1/5 =(2^-10)^1/5=

=2^-10/5=   2^-2  =   (1/2)^2=1/4