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

Create a free account to view solution

View Solution Free

Topic: Binomial Theorem·Practice all Binomial Theorem questions

More Binomial Theorem Questions

The number of non zero terms in the expansion of [(1 + 3√2x )9 − (1 − 3√2x)9] is -...The middle term in the expansion of is -...If |x| < 1, then the co-efficient of xn in the expansion of (1 + x + x2 + x3 +....)2 is...In the binomial expansion of (a - b)n, n ≥ 5 the sum of the 5th and 6th terms is zero. Then, a / b equals...nC0 - 2.3 nC1 + 3.32 nC2 - 4.33 nC3 +..........+ (-1)n (n + 1) nCn 3n is equal to...