Solve and show steps (x-2)^-1/2=1/3 ?

^ =To the power of..

Question

Solve and show steps (x-2)^-1/2=1/3 ?

^ =To the power of..

anonymous · Answer

1/((x-2)^0.5) = 1/3
square both sides
1/(x-2) = 1/9
9 = x-2
x = 11

jhonyy9 · Answer

1/sqrt(x-2) =1/3
3=sqrt(x-2)  square both sides 
9=x-2
x=11

anonymous · Answer

where did the one in front of the problem come from?

anonymous · Answer

whenever you have negative power like a^-n  you can do 1/a^n
so (x-2)^(-1/2) -> 1/((x-2)^(1/2))

anonymous · Answer

what do you square both sides with? 1/2?

anonymous · Answer

no with 2

anonymous · Answer

Ok, so when you square .5 it becomes a one, and 1/3 becomes 1/9?

anonymous · Answer

nvm that last question..
but what happened to the .5

anonymous · Answer

when you square it , it becomes 1
(a^(0.5))^2 = a

anonymous · Answer

Im sorry, im having a difficult time understanding that part, so your squaring .5 it becomes one correct? but how when you square .5 its .25