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a. \(\dfrac{-18}{91}\) và \(\dfrac{-23}{114}\)
\(\dfrac{18}{91}< \dfrac{18}{90}=\dfrac{1}{5}=\dfrac{23}{115}< \dfrac{23}{114}\)
\(\Rightarrow\dfrac{-18}{91}>\dfrac{-23}{114}\)
b. \(\dfrac{-22}{35}\) và \(\dfrac{-103}{177}\)
\(\dfrac{22}{35}=\dfrac{110}{175}>\dfrac{103}{175}>\dfrac{103}{177}\)
\(\Rightarrow\dfrac{-22}{35}< \dfrac{-103}{177}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\dfrac{-18}{91}>\dfrac{-18}{90}=\dfrac{-1}{5}\)
\(\dfrac{-23}{114}< \dfrac{-23}{115}=\dfrac{-1}{5}\)
Do đó: \(\dfrac{-18}{91}>\dfrac{-23}{114}\)
b: \(\dfrac{-22}{35}=\dfrac{-3894}{6195}\)
\(\dfrac{-103}{177}=\dfrac{-103\cdot35}{177\cdot35}=\dfrac{-3605}{6195}\)
mà -3894<-3605
nên -22/35<-103/177
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1.Tính
(0,25)4.1024=(1/4)4.1024=4
2.So sánh
291=(213)7=81927
535=(55)7=31257
Mà 8192>3125=> 81927>31257
=> 291>535
3. Tìm giá trị biểu thức
a) \(\dfrac{45^{10^{ }}.5^{20^{ }}}{75^{15}}=\dfrac{\left(3^{2^{ }}.5\right)^{10^{ }}.5^{20}}{^{ }\left(3.5^2\right)^{15}}=\dfrac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)
b)\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}=\dfrac{\left(2.0,4\right)^5}{0,4.0,4^5}=\dfrac{2^{5^{ }}.0,4^5}{0,4.0,4^5}=\dfrac{2^5}{0,4}=80\)
c)\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15^{ }}.3^8}{3^6.2^6.2^9}=\dfrac{2^{15}.3^8}{3^6.2^{15}}=3^2=9\)
Tic hộ tui đi !!! chúc bn hok tôts
![](https://rs.olm.vn/images/avt/0.png?1311)
=(-1/2-1/9-7/18)+(3/5+4/35+2/7)+1/127
=(-9/18-2/18-7/18)+(21/35+4/35+10/35)+1/127
=-1+1+1/127
=1/127
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(2^{91}\)và \(5^{35}\)
Ta có :
\(2^{91}=\left(2^{13}\right)^7=8192^7\)
\(5^{35}=\left(5^5\right)^7=3125^7\)
Vì \(8192^7>3125^7\)nên \(2^{91}>5^{35}\)
b) \(3^{4000}\)và \(9^{2000}\)
Ta có :
\(3^{4000}=\left(3^4\right)^{1000}=81^{1000}\)
\(9^{2000}=\left(9^2\right)^{1000}=81^{1000}\)
Vì \(81^{1000}=81^{1000}\)nên \(3^{4000}=9^{2000}\)
\(2^{91}\)và \(5^{35}\)
Ta có :
\(2^{91}=\left(2^{13}\right)^7=8192^7\)
\(5^{35}=\left(5^5\right)^7=3125^7\)
Vì \(8192>3125\)nên \(2^{91}>5^{35}\)
\(3^{4000}\)và \(9^{2000}\)
Ta có :
\(3^{4000}=\left(3^4\right)^{1000}=81^{1000}\)
\(9^{2000}=\left(9^2\right)^{1000}=81^{1000}\)
Vì \(81=81\)nên \(3^{4000}=9^{2000}\)
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a) Ta có : \(\dfrac{-1}{5}< 0< \dfrac{1}{1000}\)
\(\Rightarrow\dfrac{-1}{5}< \dfrac{1}{1000}\)
b) Ta có : \(\dfrac{267}{268}< 1< \dfrac{1347}{1343}\)
=> \(\dfrac{267}{-268}< -\dfrac{1347}{1343}\)
c) \(\dfrac{13}{38}>\dfrac{13}{39}=\dfrac{1}{3}=\dfrac{19}{87}>\dfrac{29}{88}\)
=> \(-\dfrac{13}{38}< \dfrac{29}{-88}\)
d) \(\dfrac{181818}{313131}=\dfrac{18}{31}\)
=> \(-\dfrac{18}{31}=-\dfrac{181818}{313131}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(-\dfrac{1}{2}\right)-\left(-\dfrac{3}{5}\right)+\left(-\dfrac{1}{5}\right)+\dfrac{1}{131}-\left(-\dfrac{2}{7}\right)+\dfrac{4}{35}-\dfrac{7}{18}\\ =-\dfrac{1}{2}+\dfrac{3}{5}-\dfrac{1}{5}+\dfrac{1}{131}+\dfrac{2}{7}+\dfrac{4}{35}-\dfrac{7}{18}\\ =\left(\dfrac{3}{5}-\dfrac{1}{5}+\dfrac{2}{7}+\dfrac{4}{35}\right)-\left(\dfrac{1}{2}+\dfrac{7}{18}\right)+\dfrac{1}{131}\\ =\dfrac{4}{5}-\dfrac{8}{9}+\dfrac{1}{131}=-\dfrac{4}{45}+\dfrac{1}{131}\\ =-\dfrac{479}{5895}\)
Ta có : \(\left(\dfrac{1}{2}\right)^{91}=\left(\dfrac{1}{2}\right)^{13\cdot7}=\left(\left(\dfrac{1}{2}\right)^{13}\right)^7\)
\(\left(\dfrac{1}{5}\right)^{35}=\left(\dfrac{1}{5}\right)^{5\cdot7}=\left(\left(\dfrac{1}{5}\right)^5\right)^7\)
Vì \(x^{7^{ }}=\) \(x^7\) mà \(\dfrac{1}{2}>\dfrac{1}{5}\) và 13 > 5
⇒ \(\left(\dfrac{1}{2}\right)^{91}>\left(\dfrac{1}{5}\right)^{35}\)
Tuổi bố Hùng là:
72 x 1/2 = 36 ( tuổi )
Bố Hùng sinh vào năm :
2022 - 36 = 1986 ( năm )
Thuộc thế kỉ 20 : XX .