byronbjnd66231 byronbjnd66231 08-01-2024 Mathematics contestada Show that if (p) is a prime, (a) is an integer, and (k) is a nonnegative integer, then (a⁽¹ ⁻ ᵏ⁽ᵖ⁻¹⁾) ≡ a (mod p).a) (a⁽¹ ⁻ ᵏ⁾≡ a (mod p)b) (a⁽ᵏ⁽ᵖ⁻¹⁾ - 1) ≡ a (mod p)c) (a⁽ᵏ⁽ᵖ⁻¹⁾ + 1) ≡ a (mod p)d) (a⁽¹ ⁺ ᵏ⁽ᵖ⁻¹⁾) ≡ a (mod p)