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

Question

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

lgbasallote · Answer

which do you think is wrong?

anonymous · Answer

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

lgbasallote · Answer

why cant it?

a^b = 1

a^(-b) = 1

therefore

a^b = a^(-b)

lgbasallote · Answer

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

anonymous · Answer

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

anonymous · Answer

oh. i think i found the answer.

anonymous · Answer

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.

lgbasallote · Answer

haha yup

lgbasallote · Answer

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