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 = 3 and p = 7.

∴ Remainder when 3⁶ is divided by 7 = 1.

⇒ R[3¹⁰⁰/7] = R[3^6×16+4/7] = R[3⁶/7]¹⁶ × R[3⁴/7] = 1 × 4 = 4.

Hence, 4.

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