The remainder when 7^403 is divided by 100 is ? – InterviewSolution

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1.	The remainder when 7^403 is divided by 100 is ?
Answer» Explanation:Given :-7⁴⁰³/100 To FIND :-Remainder When 7⁴⁰³/100 Solution :-= 7⁴⁰³/100 Splitting the whole number.= (7⁴)¹⁰⁰ ×7³ /100 = 2401¹⁰⁰ × 343/100 = (2400 + 1)¹⁰⁰ × 343/100 Now, 2400 is DIVISIBLE by 100 so the rem of 2401¹⁰⁰ is 1. The CASE of 343 = 1 × 343/100 = (300 + 43) /100 HENCE, The Remainder is 43.

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