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\(N=\frac{6^6+6^3\cdot3^3+3^6}{-73}=\frac{\left(2\cdot3\right)^6+\left(2\cdot3\right)^3\cdot3^3+3^6}{-73}\)
\(=\frac{2^6\cdot3^6+2^3\cdot3^3\cdot3^3+3^6}{-73}=\frac{2^6\cdot3^6+2^3\cdot3^6+3^6}{-73}\)
\(=\frac{3^6\left(2^6+2^3+1\right)}{-73}=\frac{3^6\cdot73}{-73}=-3^6=-729\)
\(N=\dfrac{6^6+6^3.3^3+3^6}{-73}\)
\(\Rightarrow N=\dfrac{\left(2.3\right)^6+\left(2.3\right)^3.3^3+3^6}{-73}\)
\(\Rightarrow N=\dfrac{2^6.3^6+2^3.3^6+3^6}{-73}\)
\(\Rightarrow N=\dfrac{3^6\left(2^6+2^3-1\right)}{-73}\)
\(\Rightarrow N=3^6.\left(-1\right)=-729\)
\(\frac{15^3+5\times15^2-5^3}{18^3+6\times18^2-6^3}\) \(=\frac{5^3.3^3+5.5^2.3^2-5^3}{3^3.6^3+6.6^2.3^2-6^3}\)\(=\frac{5^3.\left(3^3+3^2-1\right)}{6^3.\left(3^3+3^2-1\right)}\)=\(\frac{5^3}{6^3}\)
^-^ chúc bạn học tốt
a) \(\frac{2^7}{6^5}\times\frac{9^3}{8^8}=\frac{2^7}{2^5\times3^5}\times\frac{3^6}{2^{24}}=\frac{2^7\times3^6}{2^{29}\times3^5}=\frac{3}{4194304}\)
b) \(\frac{6^3+3\times6^2+3^3}{-13}=\frac{2^3\times3^3+3\times2^2\times3^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{27\times13}{-13}=-27\)
\(\frac{6^3+3.6^2+3^3}{-13}=\frac{3^3\left(8+4+1\right)}{-13}=\frac{27.13}{-13}=-27\)
\(=\frac{2^3.3^3+3^3.2^2+3^3}{-13}=\frac{3^3\left(2^3+2^2+1\right)}{-13}=\frac{3^3.13}{-13}=-3^3=-27\)