Binomial TheoremHard

Question

The remainder when 2²⁰⁰³ is divided by 17 is :

Options

A.1

B.2

C.8

D.none of these

Solution

2²⁰⁰³ = 8.(16)⁵⁰⁰
= 8 (17 - 1)⁵⁰⁰
∴ Remainder = 8

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