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`\(=\frac{5.5.4^{15}.9^9-2^9.6^{18}.6^2}{5.3.4^{12}.2.9^9.3-2^9.2^2.6^{18}.11}\)
\(=\frac{5.4^3-6^2}{3.2.3-2^2.11}\)
\(=\frac{320-36}{18-44}\)
\(=\frac{-284}{26}=\frac{-142}{13}\)
Lời giải:
\(B=\frac{3}{1^2.2^2}+\frac{5}{2^2.3^2}+\frac{7}{3^2.4^2}+...+\frac{19}{9^2.10^2}\)
\(=\frac{2^2-1^2}{1^2.2^2}+\frac{3^2-2^2}{2^2.3^2}+\frac{4^2-3^2}{3^2.4^2}+...+\frac{10^2-9^2}{9^2.10^2}\)
\(=\frac{1}{1^2}-\frac{1}{2^2}+\frac{1}{2^2}-\frac{1}{3^2}+\frac{1}{3^2}-\frac{1}{4^2}+....+\frac{1}{9^2}-\frac{1}{10^2}\)
\(=1-\frac{1}{10^2}=\frac{10^2-1}{10^2}=\frac{99}{100}\)
\(\frac{7.6^{10}.2^{20}.3^6-2^{19}.6^{15}}{9.6^{19}.2^9-4.3^{17}.2^{26}}=\frac{7.3^{16}.2^{30}-2^{34}.3^{15}}{3^{21}.2^{28}-2^{28}.3^{17}}=\frac{3^{15}.2^{30}\left(7.3-2^4\right)}{3^{17}.3^{28}\left(3^4-1\right)}\)\(=\frac{3^2\left(21-16\right)}{2^2\left(81-1\right)}=\frac{2^2.5}{3^2.2^4.5}=\frac{1}{3^2.2^2}=\frac{1}{36}\)
Hok tốtt
# owe
1/2+1/3+1/4+...+1/19+1/20
=1/2+1/20
=11/20
ai đi qua đồng tình thì nhé
4x 52 + 81:32 - (13-4)2
= 208 + 81:9- 92
= 208 + 9 - 81
= 217 - 81
=136
\(A=\frac{5}{7}\cdot\frac{2}{3}\cdot\frac{7}{5}\cdot\frac{3}{2}\cdot\frac{19}{43}\)
\(=(\frac{5}{7}\cdot\frac{7}{5})\cdot(\frac{2}{3}\cdot\frac{3}{2})\cdot\frac{19}{43}\)
\(=1\cdot1\cdot\frac{19}{43}=\frac{19}{43}\)
\(A=\frac{3}{1^2.2^2}+\frac{5}{2^2.3^2}+...+\frac{19}{9^2.10^2}\)
\(A=\frac{3}{1.4}+\frac{5}{4.9}+...+\frac{19}{81.100}\)
\(A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{9}+...+\frac{1}{81}-\frac{1}{100}\)
\(A=1-\frac{1}{100}\)
\(A=\frac{99}{100}\)
Chúc bạn học tốt+-*/
Tính nhanh :
\(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+...+\frac{2}{18.19}+\frac{2}{19.20}\)
\(=2.\left(\frac{1}{1.2}+\frac{2}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{18.19}+\frac{1}{19.20}\right)\)
\(=2.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{19}-\frac{1}{20}\right)\)
\(=2.\left(1-\frac{1}{20}\right)\)
\(=2.\left(\frac{20}{20}-\frac{1}{20}\right)\)
\(=2.\frac{19}{20}\)
\(=\frac{19}{10}\)
\(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+...+\frac{2}{18.19}+\frac{2}{19.20}\)
\(=2.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\right)\)
\(=2.\left(1-\frac{1}{20}\right)\)
\(=2.\frac{19}{20}\)
\(=\frac{19}{10}\)
25 . 42 - 18 . 32 + 23 + 19
= 25 . 16 - 18 . 9 + 8 + 19
= 400 - 162 + 8 + 19
= 238 + 8 + 19
= 246 + 19
= 265
Đây bạn nhé !!!
Chúc bạn học tốt !!!