Rút gọn:
A= \(\frac{72^3.54^2}{1084}\) ; B= \(\frac{3^{10}+11+3^{10}.5}{3^9.2^4}\) ; C= \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
\(C=72^3.54^2/1084\)
\(C=\frac{72^3.54^2}{1084}\)
\(=\frac{\left(8.9\right)^3.\left(2.27\right)^2}{1084}\)
\(=\frac{8^3.9^3.2^2.27^2}{1084}\)
\(=\frac{\left(2^3\right)^3.\left(3^2\right)^3.2^2.\left(3^3\right)^2}{1084}\)
\(=\frac{2^9.3^6.2^2.3^6}{1084}\)
\(=\frac{2^{11}.3^{12}}{1084}\)
\(=\frac{2^9.4.3^{12}}{271.4}\)
\(=\frac{2^9.3^{12}}{271}\)
tính A = \(\frac{72^3.54^2}{1084}\)
tính B = \(\frac{3^{10}.11+3^{10}.19}{9^2.9^3.5^2}\)
tính C = \(\frac{3737.43-4343.37}{2+4+6+.....+100}\)
Rút gọn phân số : E = 723 x 542 phần 1084
Rút gọn phân số : E = 723 x 542 phần 1084
Rút gọn biểu thức:72.54^2/1084
A=\(\frac{72^3.54^2}{108^4}\)
\(A=\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^{11}}{2^8}=2^3=8\)
Tính \(A=\frac{72^3.54^2}{108^4}\)
\(A=\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^3}{1}=8\)
Tính
\(\frac{72^3.54^2}{108^4}\)
\(=\frac{9^3.8^3.9^2.6^2}{9^4.3^4.4^4}=\frac{9^5.4^3.2^3.2^2.3^2}{9^4.4^4.3^4}\)\(=\frac{9.2^3.2^2}{4.3^2}=2^3=8\)
\(=\frac{9^3.8^3.9^2.6^2}{9^4.12^4}=\frac{9.4^3.2^3.3^2.2^2}{3^4.4^4}=\frac{9.2^3.2^2}{3^2.4}\) =23=8
\(\frac{72^3.54^2}{108^4}\)
=\(\frac{2^9.3^6.54^2}{54^4.2^4}\)=\(\frac{2^5.3^6}{54^2}\)=\(\frac{2^5.3^6}{2^2.3^6}\)=23
tích minh nha.