The Reminder when 1301^10 - 1301 is divided by 21?
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Step-by-step explanation:
7
103
=7
102
(7)
=7(49)
51
=7(50−1)
51
=7(50
51
−51(50)
50
+(51)(25)(50)
49
...+(51)(50)−1)
=7(50k−1)
=350k−7
=350k+25−25−7
=(350k−25)+25−7
=(350k−25)+18 ...(a)
When 'a' is divided by 25 it leaves a remainder 18.
Hence, when 7
103
is divided by 25, it leaves a remainder 18.
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