\(\frac{25^{11}\cdot\left(-4\right)^{33}}{8^{15}\cdot10^{22}}\)
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DD
3 tháng 4 2016
a) \(\left(\frac{11}{4}.\frac{-5}{9}-\frac{4}{9}.\frac{11}{4}\right).\frac{8}{33}\)
=\(\frac{11}{4}\left(-\frac{5}{9}-\frac{4}{9}\right).\frac{8}{33}\)
=\(\frac{11}{4}\cdot-1\cdot\frac{8}{33}\)
=\(-\frac{11}{4}\cdot\frac{8}{33}\)
=\(-\frac{2}{3}\)
b)\(-\frac{1}{4}\cdot\frac{152}{11}+\frac{68}{4}\cdot-\frac{1}{11}\)
=\(\frac{-1.152}{4.11}+\frac{68}{4}\cdot\frac{-1}{11}\)
=\(\frac{-1.152}{11.4}+\frac{68}{4}\cdot\frac{-1}{11}\)
=\(\frac{-1}{11}\cdot\frac{152}{4}+\frac{68}{4}\cdot\frac{-1}{11}\)
=\(\frac{-1}{11}\cdot\left(\frac{152}{4}+\frac{68}{4}\right)\)
=\(\frac{-1}{11}\cdot55=-5\)
c)\(\frac{-2}{3}\cdot\frac{4}{5}+\frac{2}{3}\cdot\frac{3}{5}\)
=\(-1\cdot\frac{2}{3}\left(\frac{4}{5}+\frac{3}{5}\right)\)
=\(-1\cdot\frac{2}{3}\cdot\frac{7}{5}\)
=\(-\frac{2}{3}\cdot\frac{7}{5}\)
=\(\frac{-14}{15}\)
d) chưa nghĩ ra nhé
e) bạn chép sai đề bài rồi
mk mới kiểm tra 45 phút nên biết
đề bài nè
\(\frac{3}{2^2}\cdot\frac{8}{3^2}\cdot\frac{15}{4^2}\cdot...\cdot\frac{899}{30^2}\)
=\(\frac{1.3}{2^2}\cdot\frac{2.4}{3^2}\cdot\frac{3.5}{4^2}\cdot...\cdot\frac{29.31}{30^2}\)
=\(\frac{1.3.2.4.3.5...29.31}{2.2.3^2.4^2...30.30}\)
=\(\frac{1.2.3^2.4^2.5^2....29^2.30.31}{2.2.3^2.4^2.5^2....29^2.30.30}\)
=\(\frac{1.31}{2.30}\)
=\(\frac{31}{60}\)
3 tháng 4 2016
a)trong ngoac bn dat thau so chung la 11/4 rui tinh binh thuong b)bn tu lam nhe c)dat thua so chung d)tinh trong ngoac ra rui nhan vs e) mk bo tay
22 tháng 4 2017
\(\frac{\frac{75}{100}:\frac{5}{2}+\left(\frac{3}{4}\right)^2-\frac{3}{4}:\frac{149}{4}}{\left(\frac{-121}{200}-\frac{83}{200}\right):\left(\frac{-1}{100}\right)}=\frac{\frac{3}{10}+\frac{9}{16}-\frac{3}{149}}{\frac{-51}{50}:\frac{-1}{100}}=\frac{\frac{69}{80}-\frac{3}{149}}{102}=0,008258487595\)
5 tháng 9 2017
a)\(\frac{25.4-0,5\cdot40\cdot0,2\cdot20\cdot0,25}{1+2+8+...+129+156}\)
\(=\frac{100-100}{1+2+8+...+156}\)
\(=\frac{0}{1+2+8+...+156}\)
\(=0\)
b)\(\frac{0,5\cdot40-0,5\cdot20\cdot8\cdot0,1\cdot0,25\cdot10}{128:8.16.4\left(4+52:4\right)}=\frac{20-20}{128:8.16.4.\left(4+52:4\right)}=\frac{0}{128:8.16.4.\left(4+52:4\right)}=0\)
AT
12 tháng 2 2017
a/ \(\frac{-9}{10}.\frac{5}{14}+\frac{1}{10}.\left(\frac{-9}{2}\right)+\frac{1}{7}.\left(-\frac{9}{10}\right)\)
= \(-\frac{9}{10}.\left(\frac{5}{14}+\frac{1}{7}\right)+\frac{1}{10}.\left(-\frac{9}{2}\right)\)
= \(-\frac{9}{10}.\frac{1}{2}+\frac{1}{10}.\left(-\frac{9}{2}\right)\)
= \(\frac{-9}{20}+\left(-\frac{9}{20}\right)=\frac{-18}{20}=\frac{-9}{10}\)
b/ \(\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}+\frac{1}{11}\right).132\)
\(=\left(\frac{1}{2}.132\right)+\left(\frac{1}{3}.132\right)+\left(\frac{1}{4}.132\right)+\left(\frac{1}{6}.132\right)\)\(+\left(\frac{1}{11}.132\right)\)
\(=66+44+33+22+12=177\)
c/ \(-\frac{2}{3}.\left(\frac{8}{9}.\frac{8}{13}-\frac{8}{27}.\frac{8}{13}+\frac{4}{3}.\frac{22}{39}\right)\)
= \(-\frac{2}{3}.\left[\frac{8}{13}\left(\frac{8}{9}-\frac{8}{27}\right)+\frac{88}{117}\right]\)
= \(-\frac{2}{3}.\left(\frac{8}{13}.\frac{16}{27}+\frac{88}{117}\right)\)
= còn lại làm nốt nha! bận ròy
A
21 tháng 6 2019
\(\left(\sqrt{\frac{1}{4}\cdot\frac{1}{2}}-\frac{3}{2}\sqrt{2}+\frac{4}{5}\cdot10\sqrt{2}\right):\frac{1}{8}\)
\(=\left(\sqrt{\frac{1}{4}\cdot\frac{1\cdot2}{2\cdot2}}-\frac{3}{2}\sqrt{2}+\frac{4}{5}\cdot10\sqrt{2}\right):\frac{1}{8}\)
\(=\left(\sqrt{\frac{1}{4}\cdot\frac{2}{4}}-\frac{3}{2}\sqrt{2}+8\sqrt{2}\right):\frac{1}{8}\)
\(=\left(\sqrt{\frac{2}{16}}-\frac{3}{2}\sqrt{2}+8\sqrt{2}\right):\frac{1}{8}\)
\(=\left(\frac{1}{4}\sqrt{2}-\frac{3}{2}\sqrt{2}+8\sqrt{2}\right):\frac{1}{8}\)
\(=\sqrt{2}\left(\frac{1}{4}-\frac{3}{2}+8\right):\frac{1}{8}\)
\(=\sqrt{2}\left(\frac{1}{4}-\frac{6}{4}+\frac{32}{4}\right):\frac{1}{8}\)
\(=\sqrt{2}\cdot\frac{27}{4}:\frac{1}{8}\)
\(=\frac{27\sqrt{2}}{4}\cdot\frac{8}{1}\)
\(=2\cdot27\sqrt{2}=54\sqrt{2}\)
\(\Rightarrow\left(\sqrt{\frac{1}{4}\cdot\frac{1}{2}}-\frac{3}{2}\sqrt{2}+\frac{4}{5}\cdot10\sqrt{2}\right):\frac{1}{8}=54\sqrt{2}\)
21 tháng 6 2019
\(\left(\frac{1}{4}\sqrt{2}-\frac{3}{2}\sqrt{2}+\frac{4}{5}.10\sqrt{2}\right):\frac{1}{8}\)
=\(\sqrt{2}\)(1/4-3/2+8):1/8
=\(\sqrt{2}\).27/4.8
=54\(\sqrt{2}\)
Trong bài này ta có (-2)^66
Vì mũ của nó là số chẵn nên kết quả là số dương nhé bạn