Find the remainder when 43^33 - 23 ^33 is divided by 5
Answers
Answered by
52
Hi ,
************************************************************************************
The expression a^n - b^n is always divisible by ( a - b ) , if n is any
positive integer.
*************************************************************************************
By useing above divisibility concept ,
43^33 - 23^33 is divisible by ( 43 - 23 )
i.e ( 43 - 23 ) = 20
Therefore ,
20 is one factor of 43^33 - 23^33
20 is divisble by 5.
5 is factor of 43^33 - 23^33
By this we conclude that
When 43^33 - 23 ^33 is divided by 5 the remainder is zero.
I hope this helps you.
*****
************************************************************************************
The expression a^n - b^n is always divisible by ( a - b ) , if n is any
positive integer.
*************************************************************************************
By useing above divisibility concept ,
43^33 - 23^33 is divisible by ( 43 - 23 )
i.e ( 43 - 23 ) = 20
Therefore ,
20 is one factor of 43^33 - 23^33
20 is divisble by 5.
5 is factor of 43^33 - 23^33
By this we conclude that
When 43^33 - 23 ^33 is divided by 5 the remainder is zero.
I hope this helps you.
*****
Answered by
3
Answer:
Step-by-step explanation:
Hi ,
************************************************************************************
The expression a^n - b^n is always divisible by ( a - b ) , if n is any
positive integer.
*************************************************************************************
By useing above divisibility concept ,
43^33 - 23^33 is divisible by ( 43 - 23 )
i.e ( 43 - 23 ) = 20
Therefore ,
20 is one factor of 43^33 - 23^33
20 is divisble by 5.
5 is factor of 43^33 - 23^33
By this we conclude that
When 43^33 - 23 ^33 is divided by 5 the remainder is zero.
I hope this helps you.
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