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)

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