7:
\(19M=\dfrac{19^{31}+95}{19^{31}+5}=1+\dfrac{90}{19^{31}+5}\)
\(19N=\dfrac{19^{32}+95}{19^{32}+5}=1+\dfrac{90}{19^{32}+5}\)
\(19^{31}+5< 19^{32}+5\)
=>\(\dfrac{90}{19^{31}+5}>\dfrac{90}{19^{32}+5}\)
=>\(1+\dfrac{90}{19^{31}+5}>1+\dfrac{90}{19^{32}+5}\)
=>19M>19N
=>M>N
6:
\(B=\dfrac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}=\dfrac{3^{10}\cdot16}{3^9\cdot16}=3\)
\(C=\dfrac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}\)
\(=\dfrac{2^{10}\cdot78}{2^8\cdot2^3\cdot13}=\dfrac{2^{10}}{2^{11}}\cdot6=3\)
=>B=C
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