Question

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

^ =To the power of..

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

no with 2

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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