Can 3^n*4^m end with zero? Justify
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S.T 3
n
×4
m
cant end with 0 or 5.
For a number to end with 0, the number
must have 2 & 5 as factors.
10=2×5
100=2
2
×5
2
For a number to end with 5, the number must have 5 as a factor.
30=5×6
3
n
×(2
2
)
m
=3
n
×2
2
m
This number dosent have 5 or 5 and 2 as its factors. Therefore the number cant end with 0 o 5.
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