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`a)1 4/23 + ( 5/21-4/23)+16/21-1/2`
`=27/23+5/21-4/23+16/21-1/2`
`=(27/23-4/23)+(5/21+16/21)-1/2`
`=23/23+21/21-1/2`
`=1+1-1/2`
`=2-1/2`
`=4/2-1/2`
`=3/2`
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`b)75%-(5/2+5/3)+(-1/2)^3`
`=3/4-5/2+5/3+(-1/8)`
`=(3/4-5/2-1/8)+5/3`
`=(6/8-20/8-1/8)+5/3`
`=-15/8+5/3`
`=-45/24+40/24`
`=-5/24`
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`c)-3/4(-55/9).8/11`
`=-3/4.(-40/9)`
`=-10/3`
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`d)-3/8 . 6/13 + 7/13 . (-3/8) + 1 3/8`
`= -3/8 . (6/13 + 7/13) + 11/8`
`= -3/8 . 13/13 + 11/8`
`= -3/8 .1 + 11/8`
`= -3/8 + 11/8`
`= 8/8`
`=1`
a) 32 . 53 + 92 = 9 . 125 + 81
= 1 125 + 81 = 1 206
b) 83 : 42 - 52 = 512 : 16 - 25 = 32 - 25 = 7
c) 33 . 92 - 52.9 + 18 : 6 = 27 . 81 - 25 . 9 + 3
= 2 187 - 225 + 3 = 1 962 + 3 = 1 965
\(\frac{9^3\cdot2^{10}\cdot27^5}{4^5\cdot81^6}=\frac{3^6\cdot2^{10}\cdot3^{15}}{2^{10}\cdot3^{24}}=\frac{1}{3^3}=\frac{1}{27}\)
\(\frac{27^4\cdot2^5-3^{11}\cdot4^3}{8^2\cdot9^6}=\frac{3^{12}\cdot2^5}{2^6\cdot3^{12}}-\frac{3^{11}\cdot2^6}{2^6\cdot3^{12}}=\frac{1}{2}-\frac{1}{3}=\frac{1}{6}\)
=))
a) \(\frac{9^3.2^{10}.27^5}{4^5.81^6}\)= \(\frac{\left(3^2\right)^3.2^{10}.\left(3^3\right)^5}{\left(2^2\right)^5.\left(3^4\right)^5}\)= \(\frac{3^{2.3}.2^{10}.3^{3.5}}{2^{2.5}.3^{4.5}}\)= \(\frac{3^6.2^{10}.3^{15}}{2^{10}.3^{20}}\)= \(\frac{3^{21}.2^{10}}{2^{10}.3^{20}}\)= \(\frac{3^{20}.2^{10}.3}{2^{10}.3^{20}}\)= \(3\)
`x/8=4/(-32)`
`(4x)/32=(-4)/32`
`4x=-4`
`x=-1`
Vậy `x=-1`.
`b)x-7/18=3 5/12`
`x-7/18=41/12`
`x=41/12+7/18`
`x=137/36`
Vậy `x=137/36`
`c)-3/8. 2/5+(-3)/8. 9/5-(-3)/8. 6/5`
`=-3/8. 2/5-3/8. 9/5+3/8. 6/5`
`=3/8(-2/5-9/5+6/5)`
`=3/8.(-1)`
`=-3/8`
\(A=5.4^{15}.9^9-4.3^{20}.8^9\\ =5.2^{30}.3^{18}-3^{20}.2^{29}\\ B=5.2^9.6^{19}-7.2^{29}.27^6\\=5.2^{28}.3^{19}-7.2^{^{29}}.3^{18}\\ \Rightarrow A:B=\left(5.2^{30}.3^{18}-3^{20}.2^{29}\right):\left(5.2^{28}.3^{19}-7.2^{^{29}}.3^{18}\right)\\ =\dfrac{2^2-3^2}{3-7}=\dfrac{4-9}{-4}=\dfrac{5}{4}\)
\(9^2.9^2.9^1\)
\(\left(3^{10}:3^5\right)\left(2^9:2^4\right)\)
Ai tích mik mik tích lại
Thề luôn
Thanks
\(9^{2+2+1}=9^5\)
\(3^5.2^5=\left(3.3.3.3.3\right).\left(2.2.2.2.2\right)=\left(3.2\right).\left(3.2\right).\left(3.2\right).\left(3.2\right).\left(3.2\right)=6.6.6.6.6=6^5\)
Tích nha mik tích lại
thanks nhiều
tính nhanh nhé
\(\frac{224}{3}\)