Find the value of:

(i) (-1)¹⁰⁰⁰

(ii) (1)²⁵⁰

(iii) (-1)¹²¹

(iv) (10000)⁰

(i) (-1)¹⁰⁰⁰ = 1 [∵ (-1)^{even number} = 1]

(ii) (1)²⁵⁰ = 1 [∵ (1)^{even number} = 1]

(iii) (-1)¹²¹ = -1 [∵ (-1)^{odd number} = -1]

(iv) (10000)⁰ = 1 [∵ a⁰ = 1]