\(\frac{3^8\cdot11+3^{10}\cdot5}{3^9\cdot2^4}=\frac{367416}{314928}=\frac{7}{6}\)
Nghe nói cần gấp nên k kịp suy nghĩ cách tính nhanh =='
Ta có: \(\frac{3^8.11+3^{10}.5}{3^9.2^4}\) = \(\frac{3^8.11+3^8.9.5}{3^9.2^4}\) = \(\frac{3^8.11+3^8.45}{3^9.2^4}\) = \(\frac{3^8\left(11+45\right)}{3^9.2^4}\) = \(\frac{3^8.56}{3^9.16}\) = \(\frac{56}{3.16}\)= \(\frac{56}{48}\)
= \(\frac{7}{6}\)
\(\frac{3^8.11+3^{10}.5}{3^9.2^4}=\frac{3^8.11+3^8.3^2.5}{3^9.16}=\frac{3^8.11+3^8.45}{3^8.3.16}=\frac{3^8\left(11+45\right)}{3^8.48}=\frac{3^8.56}{3^8.48}=\frac{56}{48}=\frac{7}{6}\)
Ta có:\(\frac{3^8.11+3^{10}.5}{3^9.2^4}\)=\(\frac{3^8.11+3^8.3^2.5}{3^9.2^4}\)=\(\frac{3^8.11+3^8.9.5}{3^9.2^4}\)=\(\frac{3^8.11+3^8.45}{3^9.2^4}\)=\(\frac{3^8.\left(11+45\right)}{3^9.2^4}\)=\(\frac{3^8.56}{3^9.2^4}\)=\(\frac{3^8.2^3.7}{3^9.2^4}\)=\(\frac{7}{3.2}\)=\(\frac{7}{6}\)
