Discussion

Explanation:

Using Fermat’s Little Theorem we know, remainder of a^(p-1) when divided by p is 1.

where p is a prime number, a and p are co-primes.

Here, a = 2 and p = 5.

∴ Remainder when 2⁴ is divided by 5 = 1.

⇒ R[2¹⁰⁰/5] = R[2^4×25/5] = R[2⁴/5]²⁵ = 1²⁵ = 1.

Hence, 1.

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