Question

(X-2)^1/2=5
Solve

Answer 1

you can convert 1/2 exponent to square root \[\huge\rm [x^\frac{ 1 }{ 2 }=\sqrt{x}\]

Answer 2

ignore `[`

Answer 3

so (x-2)^1/2 is same as \[\sqrt{x-2} =5\] take square both sides to cancel out the square root

Answer 4

\[\huge\rm (x-2)^\frac{ 1 }{ 2 }=5\]
or keep the 1/2 exponent same thing
now take square both sides \[\huge\rm ((x-2)^\frac{ 1 }{ 2 })^2=(5)^2\]

Answer 5

any question :? understand or not ?
let me know what you get after that

Answer 6

Oh ok now I see I got it. What about if the exponent us 1/3

Answer 7

remember the exponent rule \[\huge\rm x^\frac{ m }{ n }=\sqrt[n]{x^m}\] denominator of the fraction would represent index