Question

show that 3 power n × 4 power m cannot end with digit 0 or 5 for any natural num​

Answer 1

Answer:

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.