show that 9 power n never ends with 0
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Answer:
Step-by-step explanation:
9^n will never end with zero because,
If we factorise 9 we get (3)(3)
A number with power n ends with zero have at least one 2 and one 5 in its factor
And in case of 9 we do not have 2 and 5 so 9 ^n can't be end with zero
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9power n will not end with digit 0.
If we factorise the 9, we get the two factors [3][3].
Bt if a digit ends with 0 then it must have factored 2 and 5.
bt 9 do not have factore 2 and 5.
so 9 will never end with digit 0
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