What will be remainder when 5^1453 is divided by 1000
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Given : 5¹⁴⁵³ divided by 1000
To find : Remainder
Solution:
5² = 25
5³ = 125
5⁴ = 625
5⁵ = 3125
5⁶ = 15625
Odd power of 5 ends with 125
Even power ends with 625
1453 is odd
=> 5¹⁴⁵³ will end with 125
Last three Digits are 125
Hence on dividing by 1000
remainder will be 125
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