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\(6^6+6^6+6^6+6^6+6^6+6^6\)
\(=\left(1+1+1+1+1+1\right)\cdot6^6\)
\(=6\cdot6^6\)
\(=6^7\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(1+1+1\right)!=6\)
\(2+2+2=6\)
\(3\cdot3-3=6\)
\(\sqrt{4}+\sqrt{4}+\sqrt{4}=6\)
\(5+\left(5:5\right)=6\)
\(6+6-6=6\)
\(7-\left(7:7\right)=6\)
\(\left(\sqrt{8+\left(8:8\right)}\right)!=6\)
\(\left(9-9\right)+\left(\sqrt{9}\right)!=6\)
\(\sqrt{10-\left(10:10\right)}!=6\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(D=6+6^2+6^3+...+6^{100}\\ \Rightarrow6D=6^2+6^3+6^4...+6^{101}\\ \Rightarrow6D-D=\left(6^2+6^3+6^4...+6^{101}\right)-\left(6+6^2+6^3+...+6^{100}\right)\\ \Rightarrow5D=6^{101}-6\)
\(\Rightarrow D=\dfrac{6^{101}-6}{5}\)
\(D=6+6^2+6^3+...+6^{100}\)
\(6D=6\left(6+6^2+6^3+...+6^{100}\right)\)
\(6D=6^2+6^3+6^4+...+6^{101}\)
\(6D-D=\left(6^2+6^3+6^4+...+6^{101}\right)-\left(6+6^2+6^3+...+6^{100}\right)\)
\(5D=6^{101}-6\)
\(D=\dfrac{6^{101}-6}{5}\)
Vậy \(D=\dfrac{6^{101}-6}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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\(N=\dfrac{2^6\cdot3^6+2^3\cdot3^3\cdot3^3+3^6}{-73}=\dfrac{3^6\left(2^6+2^3+1\right)}{-73}=\dfrac{3^6\cdot73}{-73}=-3^6=-729\)
![](https://rs.olm.vn/images/avt/0.png?1311)
không biết