Question
For what value of n, $2^n \times 5^n$ ends in 5.

Answer

$2^n \times 5^n$
If $n =0$, then $2^0 \times 5^0=1 \times 1=1$
If $n=1$, then $2^1 \times 5^1=2 \times 5=10$
If $n=2$, then $2^2 \times 5^2=4 \times 25=100$
Thus, no value of $n, 2^n \times 5^n$ and in 5 .

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