one math question

kuuiytt

207. a,b are positive integers, a^b=?
1) b^a=9
2） a^(2b)=64
why 选d?

It should be "B". because for 1) 9^1 and 3^2 all =9. so by 1) can't decide a^b.

NN please confirm.

himba

It should be D.

because 2) a=2 b=3 or a=8 b=1 can meet the requirement, so 2) can't decide a^b.

so 1),2) together can decide a^b.

kuuiytt

thanks  a  lot  !!!