Question

2018^2019-20119^2018 divided by 5 what is the remainder?

Answer 1

Answer on Question #84517 – Math – Combinatorics | Number Theory

Question

2018²⁰¹⁹ – 20119²⁰¹⁸ divided by 5 what is the remainder?

Solution

2018²⁰¹⁹ – 20119²⁰¹⁸ ≡ 8²⁰¹⁹ – 9²⁰¹⁸ ≡ 3²⁰¹⁹ – 81¹⁰²⁴ ≡ 3²⁰¹⁶⁺³ – 1¹⁰²⁴ ≡ 3³ – 1 ≡ 1

Answer: The remainder is 1.

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