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\(C=\frac{-1}{2}+\frac{3}{21}+\frac{-2}{6}+\frac{-5}{30}\)
\(C=\frac{-1}{2}+\frac{1}{7}+\frac{-1}{3}+\frac{1}{6}\)
\(C=\frac{-21}{42}+\frac{6}{42}+\frac{-14}{42}+\frac{7}{42}\)
\(C=\frac{-22}{42}\)
\(\Rightarrow C=\frac{-11}{21}\)
Vậy \(C=\frac{-11}{21}\)
C=\(\frac{-105}{210}+\frac{30}{210}+\frac{-70}{210}+\frac{-35}{210}=\frac{\left(-105\right)+30+\left(-70\right)+\left(-35\right)}{210}=\frac{-180}{210}=\frac{-6}{7}\)
Tự rút gọn!
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\(A=\frac{3469-54}{6938-108}\)
\(=\frac{3415}{6830}\)
\(=\frac{3415}{6830}=\frac{3415:3415}{6830:3415}=\frac{1}{2}=\frac{3}{6}\)
\(B=\frac{2468-89}{3720-147}\)
\(=\frac{2370}{3555}\)
\(=\frac{2370}{3555}=\frac{2370:1185}{3555:1185}=\frac{2}{3}=\frac{4}{6}\)
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a, \(4^7.3^4.9^6:6^{13}\)
\(=\left(2^{14}.3^4.3^{12}\right):\left(2^{13}.3^{13}\right)\)
\(=2^{14}:2^{13}.3^{16}:3^{13}\)
\(=2.3^3=54\)
b, \(2^3.3^2-5^{16}:25^7\)
\(=72-5^{16}:5^{14}\)
\(=72-5^2=47\)
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4^7.3^4.9^6:6^13=4^7.3^4.(3^2)^6:6^13
=4^7.3^16:3^13.2^13
=(2^2)^7.3^16:3^13.2^13
=2^14.3^16:3^13.2^13
=2.3^3
=54
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Số các số hạng là
( 100 - 2) : 2 + 1 = 50
Tổng là
( 100 + 2 ) x 50 : 2 = 2550
đáp số 2550
hok tốt