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Real Numbers — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
Question
For what value of $n, 2^n \times 5^n$^ ends in $5.$
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Answer

Solution:
$2^n \times 5^n$
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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