Find the remainder when 888888888 + 9^454 is divided by 16.
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Answer:
55555810.88
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given : 888888888 + 9^454 is divided by 16.
To Find : Remainder
Solution:
888888888 + 9⁴⁵⁴ is divided by 16.
888888888 /16
When Divided by 16 remainder = 8
888888888 = 16(55555555) + 8
9⁴⁵⁴
= (9²)²²⁷
= (81)²²⁷
= (80 + 1)²²⁷
= (16*5 + 1)²²⁷
Hence when divided by 16 remainder = 1
Hence when 888888888 + 9^454 is divided by 16.
Remainder = 8 + 1 = 9
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