Question

10^n+5/2^n+3*5^n+2
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Answer 1

$\dfrac{10^{n+5}}{2^{n+3}*5^{n+2}}=\dfrac{2^{n+5}*5^{n+5}}{2^{n+3}*5^{n+2}}= \dfrac{2^{n+5}}{2^{n+3}}*\dfrac{5^{n+5}}{5^{n+2}}=2^{n+5-n-3}*5^{n+5-n-2}= \\ \\ =2^2*5^3=2^2*5^2*5=10^2*5=100*5=500$

Answer 2

$\frac{10^{n+5}}{2^{n+3}5^{n+2}}= \frac{10^n10^5}{10^{n+2}2}= \\ = \frac{10^{n+2}10^3}{10^{n+2}2}= \frac{10^3}{2}= \frac{1000}{2}=500$