what happens when 74 powers 100 is divided by 9 what will be remainder
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Given : 74 powers 100 is divided by 9
To Find : reminder
Solution:
74¹⁰⁰
= (2 * 37)¹⁰⁰
= 2¹⁰⁰ * 37¹⁰⁰
37¹⁰⁰ = ( 36 + 1)¹⁰⁰
36 is divisible by 9
Hence remainder = (1)¹⁰⁰ = 1
2¹⁰⁰ = 2 * 2⁹⁹
= 2(2³)³³
= 2(8)³³
= 2(9 - 1)³³
Hence remainder = 2(-1)³³ = - 2
Remainder = (-2)(1) = - 2
so remainder = -2 + 9 = 7
7 is the remainder
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