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Tờ làm luôn, ko ghi đề nữa nhé
\(A=\frac{\frac{24}{12}-\frac{4}{12}+\frac{3}{12}}{\frac{24}{12}+\frac{2}{12}-\frac{3}{12}}\)
\(A=\frac{\frac{23}{12}}{\frac{23}{12}}=1\)
Vậy A=1
\(A=\frac{2-\frac{1}{3}+\frac{1}{4}}{2+\frac{1}{6}-\frac{1}{4}}\)\(=\frac{2-\frac{2}{6}+\frac{2}{8}}{2+\frac{2}{12}-\frac{2}{8}}\)\(=\frac{2\left(1-\frac{1}{6}+\frac{1}{8}\right)}{-2\left(1-\frac{1}{12}+\frac{1}{8}\right)}\)\(=-1\)
a, \(\left(\frac{1}{2}\right)^{15}.\left(\frac{1}{4}\right)^{20}=\left(\frac{1}{2}\right)^{15}.\left(\frac{1}{2}\right)^{20}.\left(\frac{1}{2}\right)^{20}=\left(\frac{1}{2}\right)^{15+20+20}=\left(\frac{1}{2}\right)^{55}\).
Tử số : \(4^5.9^4-2.6^9\)
\(=\left(2^2\right)^5.\left(3^2\right)^4-2.2^9.3^9\)
\(=2^{10}.3^8-2^{10}.3^9\)
Mẫu số : \(2^{10}.3^8+6^8.20\)
\(=2^{10}.3^8+2^8.3^8.2^2.5\)
\(=2^{10}.3^8+2^{10}.3^8.5\)
\(=2^{10}.3^8.6\)
a, \(A=3a.2.b-a.432b-4ab\)
\(=6ab-432ab-4ab=-430ab\)
b, \(A=-430ab=\left(-430\right).\frac{1}{229}.\frac{1}{433}=\frac{-430}{229.433}\)
\(1\frac{1}{2}.1\frac{1}{3}.1\frac{1}{4}.....1\frac{1}{2015}\)
\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}........\frac{2016}{2015}\)
\(=\frac{3.4.5.....2016}{2.3.4....2015}=\frac{2016}{2}=1008\)
\(A=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{2016}{2015}\)
\(A=\frac{2016}{2}=1008\)
Xong nhé bạn!
\(A=1+4+4^2+...+4^{90}\)
\(4A=4+4^2+4^3+...+4^{90}+4^{91}\)
\(4A-A=\left(4+4^2+4^3+...+4^{91}\right)-\left(1+4+4^2+...+4^{90}\right)\)
\(3A=4+4^2+4^3+...4^{91}-1-4-4^2-...-4^{90}\)
\(3A=4^{91}-1\)
\(A=\frac{4^{91}-1}{3}\)
t i c k nha ^^
4A= 4+42+43+....+491
4a-4=(4+42+43+...+491)-(1+4+42+...+490)
3a=491-1
a=(491-1)/3