Question

if a^(-b)=1then
1/a^b = 1
a^b=1
thus a^b = a^(-b)
or, b = -b
what is wrong

Answer 1

which do you think is wrong?

Answer 2

b cannot be equal to -b. so what I did must have some type of error.

Answer 3

why cant it?

a^b = 1

a^(-b) = 1

therefore

a^b = a^(-b)

Answer 4

according to a property \[\text{ if} \; a^m = a^n \; \text{then} \; m = n\]
are you familiar with that?

Answer 5

yes. but if b = 3 then how can 3=-3 be true

Answer 6

oh. i think i found the answer.

Answer 7

nothing is wrong. but what i thought was mistake b cannot be any other number than 0.so
0=-0. sorry for the wrong question.

Answer 8

haha yup

Answer 9

i wanted to tell you that but i figured finding out on your own was more fun :S