Show that 3 power m and 4 power n
cannot ends with 0 or5 for any natural number n and m
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Answer:
Step-by-step explanation:
3^1 = 3
3^2= 9
3^3 = 27
3^4 = 81
3^5 = 243
we see that after fourth power, the unit digit start to repeat, therefore only unit digit possible= 3, 9, 7, 1
similarly
4^1 =4
4^2=16
4^3=64
4^4=256
4^5=1024
we see that after second power, the unit digit start to repeat, therefore only unit digit possible= 4, 6
THEREFORE THEY CAN NEVER HAVE 0 OR 5
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