Could you please guide on how to approach this confidence interval review problem? Thank you!

Let U₁, U₂, , U_n be i.i.d observations from Uniform(0, ), where > 0 is unknown. Suppose U₍₁₎ = min{U₁, U₂, , U_n} and U_(n) = max{U₁, U₂, , U_n}. Show that for any (0, 1),

(U₍₁₎, ^-1/nU_(n))

is a (1 ) level confidence interval for .