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\(A=\frac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}\)
\(=\frac{3^{10}\left(11+5\right)}{3^9\cdot2^4}=\frac{3^{10}.16}{3^9.16}=3\)
\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}.16}{3^9.16}\)
\(=\frac{3^{10}}{3^9}=3\)
Học tốt
\(\frac{2^4x5^2x11^2x7}{2^3x5^3x7^3x11}=\frac{2x11}{5x7^2}=\frac{22}{245}\)
k nha
\(A=\frac{72^3\times54^2}{108^4}\)
\(\Rightarrow A=\frac{\left(2^3\times3^2\right)^3\times54^2}{\left(54\times2\right)^4}\)
\(\Rightarrow A=\frac{\left(2^3\right)^3\times\left(3^2\right)^3\times54^2}{54^4\times2^4}\)
\(\Rightarrow A=\frac{2^9\times3^6\times54^2}{54^2\times54^2\times2^4}\)
\(\Rightarrow A=\frac{2^5\times3^6}{54^2}\)
\(\Rightarrow A=\frac{2^5\times3^6}{\left(2\times3^3\right)^2}\)
\(\Rightarrow A=\frac{2^2\times2^3\times3^6}{2^2\times\left(3^3\right)^2}\)
\(\Rightarrow A=\frac{2^3\times3^6}{3^6}\)
\(\Rightarrow A=2^3=8\)
\(B=\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
\(\Rightarrow B=\frac{3^{10}\times\left(11+5\right)}{3^9\times2^4}\)
\(\Rightarrow B=\frac{3^{10}\times16}{3^9\times16}\)
\(\Rightarrow B=\frac{3^{10}}{3^9}=3\)
Dễ nhưng ko thích làm ai làm nhanh cái đang mệt ko mún làm chép cho nhanh
a ) \(a=\frac{72^3.54^2}{1084}\)
\(a=\frac{\left(2^3.3^2\right)^3.\left(2.3^2\right)^2}{2^2.271}\)
\(a=\frac{2^9.3^6.2^2.3^6}{2^2.271}\)
\(a=\frac{2^9.3^{12}}{271}\)
\(a=\frac{\left(2^3\right)^3.\left(3^4\right)^3}{271}\)
\(a=\frac{8^3.81^3}{271}\)
\(a=\frac{648^3}{271}\)
Vậy \(a=\frac{648^3}{271}\)
b ) \(b=\frac{3^{10}.11+3^{10}.5}{30.24}\)
\(b=\frac{3^{10}.\left(11+5\right)}{30.24}\)
\(b=\frac{3^{10}.16}{30.24}\)
\(b=\frac{3^{10}.2.2.2}{2.3.5.2.2.3}\)
\(b=\frac{3^{10}}{3^2.5}\)
\(b=\frac{3^5}{5}\)
\(b=\frac{243}{5}\)
\(b=48,6\)
Vậy b = 48,6