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

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Question

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.

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Chapter 1: Real Numbers - Exercises 5

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RS Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercises 5 | Q 12

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