Discussion

Explanation:

Let us find the pattern that remainders follow when successive powers of 2 are divided by 17.

Remainder of 2¹/17 = 2.
Remainder of 2²/17 = 4.
Remainder of 2³/17 = 8.
Remainder of 2⁴/17 = 16 = -1.

∴ Remainder will repeat after every 8 terms. 

or, R[2⁴/17] = -1

⇒ R[2¹²⁰/7] = R[2^4×30/7] = R[2⁴/7]³⁰ = (-1)³⁰ = 1.

Hence, 1.

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