Question

if (a*5)^n . can end with the digit zero find the minimum value for a

Answer 1

Given : (a*5)ⁿ end with the digit zero

To find :  minimum value for a

Solution:

Any number ending with 0 when raised to power with any integer greater than 0  than end with 0

Hence a * 5 should end with  0  

a * 5  will end with zero with least value of a

if a * 5 = 10

=> a = 1

minimum value for  a  = 2  

minimum value for  a  = 2   so that   (a*5)ⁿ can end with the digit zero

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