Show that 3 power n multiplied by 4 power m cannot end with digit 0or 5 for amy natural numbers m and n
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Answer:
3×4 = 12
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Theorem:- Any number can be ended by digit 0 pr 5 at its unit place if the prime factors of the number only contains the digit 2 or 5 or both
in the above question the product of 3 and 4 is 12
it contains the prime factors 2×2×3
therefore the product also contains 3 as its factor.
therefore with the above theorem it is concluded that
3 power n multiplied by 4 power m cannot end with digit 0or 5.
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