# Show that There is No Value of N for Which (2^N Xx 5^N) Ends in 5. - Mathematics

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

#### Solution

We can write:
(2^n xx  5^n)  = (2 × 5) n
= 10^n
For any value of n, we get 0 in the end.
Thus, there is no value of n for which (2^n xx  5^n) ends in 5.

Concept: Real Numbers Examples and Solutions
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