The last digit of 7¹⁰⁰ is:
Solution
7⁴ ≡ 1 (mod 10). 7¹⁰⁰ = (7⁴)²⁵ ≡ 1²⁵ ≡ 1 (mod 10). So last digit = 1.
About this question
Subject: Mathematics · Chapter: Binomial Theorem · Topic: Applications of Binomial Theorem
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