\(N=\frac{6^6+6^3\cdot3^3+3^6}{-73}=\frac{\left(2\cdot3\right)^6+\left(2\cdot3\right)^3\cdot3^3+3^6}{-73}\)
\(=\frac{2^6\cdot3^6+2^3\cdot3^3\cdot3^3+3^6}{-73}=\frac{2^6\cdot3^6+2^3\cdot3^6+3^6}{-73}\)
\(=\frac{3^6\left(2^6+2^3+1\right)}{-73}=\frac{3^6\cdot73}{-73}=-3^6=-729\)
\(N=\dfrac{6^6+6^3.3^3+3^6}{-73}\)
\(\Rightarrow N=\dfrac{\left(2.3\right)^6+\left(2.3\right)^3.3^3+3^6}{-73}\)
\(\Rightarrow N=\dfrac{2^6.3^6+2^3.3^6+3^6}{-73}\)
\(\Rightarrow N=\dfrac{3^6\left(2^6+2^3-1\right)}{-73}\)
\(\Rightarrow N=3^6.\left(-1\right)=-729\)
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