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4..\(\frac{64^3.36^2}{16^4.18^5}\) 5. \(\frac{34^{18}.68^{24}}{17^{30}.2^{16}}\)
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20 tháng 7 2018
a) 19 x 64 + 76 x 34
= 19 x 64 + 19 x 4 x 34
= 19 x ( 64 + 34 x 4 )
= 19 x 200
= 3800
b ) 135 x 12 + 165 x 13
= 135 x 12 + 165 x ( 12 + 1 )
= 135 x 12 + 165 x 12 + 165
= 12 x ( 135 + 165 ) + 165
= 12 x 300 + 165
= 3600 + 165
= 3765
c ) 136 x 68 + 16 x 272
= 136 x 68 + 32 x 136
= 136 x ( 68 + 32 )
= 136 x 100
= 13600
d ) 1 + 2 + 3 + 4 + ...... + 19 + 20
= ( 1 + 20 ) x 20 : 2
= 21 x 10
= 210
e ) 1 + 3 + 5 + ......+ 17 + 19
= 10 : 2 x ( 1 + 19 )
= 5 x 20
= 100
f ) 2 + 4 + 6 + ..... + 18 + 20
= ( 20 + 2 ) x 10 : 2
= 22 x 5
= 110
MT
5 tháng 10 2019
\(A=\frac{8\frac{3}{9}.5\frac{1}{4}+3\frac{16}{19}.5\frac{1}{4}}{\left(2\frac{14}{17}-2\frac{1}{34}\right).34}:\frac{7}{24}\)
\(=\frac{5\frac{1}{4}\left(8\frac{1}{3}+3\frac{16}{19}\right)}{\left(\frac{28}{34}-\frac{1}{34}\right).34}:\frac{7}{24}\)
\(=\frac{\frac{21}{4}\left(\frac{25}{3}+\frac{73}{19}\right)}{\frac{27}{34}.34}:\frac{7}{24}\)
\(=\frac{\frac{21}{4}\left(\frac{475}{57}+\frac{219}{57}\right)}{27}:\frac{7}{24}\)
\(=\frac{\frac{21}{4}.\frac{674}{57}}{27}:\frac{7}{24}\)
\(=\frac{\frac{14154}{228}}{27}.\frac{24}{7}=\frac{\frac{339696}{228}}{189}\)
-,- -,- rốối quá
(Vẫn rút gọn hở ?)
4. \(\frac{64^3.36^2}{16^4.18^5}=\frac{\left(2^6\right)^3.\left(2^2.3^2\right)^2}{\left(2^4\right)^4.\left(2.3^2\right)^5}=\frac{2^{18}.\left(2^2\right)^2.\left(3^2\right)^2}{2^{16}.2^5.\left(3^2\right)^5}\)
\(=\frac{2^{18}.2^4.3^4}{2^{16}.2^5.3^{10}}=\frac{2^{22}.3^4}{2^{21}.3^{10}}=\frac{2}{3^6}\)
5. \(\frac{34^{18}.68^{24}}{17^{30}.2^{16}}=\frac{\left(2.17\right)^{18}.\left(2^2.17\right)^{24}}{17^{30}.2^{16}}=\frac{2^{18}.17^{18}.\left(2^2\right)^{24}.17^{24}}{17^{30}.2^{16}}\)
\(=\frac{2^{18}.17^{18}.2^{48}.17^{24}}{17^{30}.2^{16}}=\) \(\frac{2^{66}.17^{42}}{17^{30}.2^{16}}=2^{50}.17^{12}\)