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7.\(2^{13}\)>216
\(7^{2009}-7^{2008}=7^{2008}-7^{2007}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
5^216 =( 5^ 6)^ 36=15625^36
vì 15625^36 > 15376 ^ 36
nên 5^216 > 15376^ 36
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có :
\(\left(\frac{1}{80}\right)^7>\left(\frac{1}{81}\right)^7=\left(\frac{1}{3^4}\right)7=\frac{1}{3^{28}}\)
\(\left(\frac{1}{213}\right)^6>\left(\frac{1}{243}\right)^6=\left(\frac{1}{3^5}\right)^6=\frac{1}{3^{30}}\)
Có : (1/80)^7 < (1/64)^7 = [(1/2)^6]^7 = (1/2)^42
(1/213)^6 > (1/218)^6 = [(1/2)^7]^6 = (1/2)^42
=> (1/80)^7 < (1/213)^6
Tk mk nha
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Ta có:
\(1-\frac{-219}{220}=1\frac{219}{220}=1+\frac{219}{220}\)
\(1-\frac{-215}{216}=1\frac{215}{216}=1+\frac{215}{216}\)
Ta so sánh hai phân số \(\frac{219}{220};\frac{215}{216}\)
Ta có:
1-219/220=1/220
1-215/216=1/216
Vì 220>216 => 1/220 < 1/216 => 219/220 > 215/216 => 1+219/220 > 1+215/220 => \(-\frac{219}{220}>\frac{-215}{216}\)
Vậy \(-\frac{219}{220}>\frac{-215}{216}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
b)
ta có : \(\frac{1313}{9191}=\frac{13}{91}=\frac{1}{7}\)
\(\frac{1111}{7373}=\frac{11}{73}>\frac{11}{77}\)
Mà \(\frac{11}{77}=\frac{1}{7}\)
\(\Rightarrow\frac{11}{73}>\frac{1}{7}\)
Vậy \(\frac{1313}{9191}< \frac{1111}{7373}\)
1-21/52=31/52 1-213/523=310/523 ta có 31/52=310/520
vì 310/520<310/523 nên 21/52 < 213/523
phần còn lại như bạn bên trên nha! chọn mk nhé!
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Ta có: \(2^{16}=2^{3+13}=2^3.2^{13}=8.2^{13}\)
Vì \(7< 8\)\(\Rightarrow7.2^{13}< 8.2^{13}\)
hay \(7.2^{13}< 2^{16}\)