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Show that there is no value of n for which (2^n x 5^n) ends in 5.

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Show that there is no value of n for which (2n x 5n) ends in 5.

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Best answer

2n x 5n can also be written as

2n x 5n = (2 x 5)n = (10)n

Which always ends in a zero

There is no value of n for which (2n x 5n) ends in 5.

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