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 = 7.

∴ Remainder when 2⁶ is divided by 7 = 1.

⇒ R[2¹⁰⁰/7] = R[2^6×16+4/7] = R[2⁶/7]¹⁶ × R[2⁴/7] = 1¹⁶ × 2 = 2.

Hence, 2.

» Your doubt will be displayed only after approval.