So sánh:
a)6255và 1257
b) 523và 6.522
c) 7.213và 216
d) 12560và 2591
K
Khách
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Những câu hỏi liên quan
2 tháng 7 2021
a) \(243^5=\left(3^5\right)^5=3^{25}\)
\(3\cdot27^5=3\cdot\left(3^3\right)^5=3\cdot3^{15}=3^{16}\)
mà \(3^{25}>3^{16}\)
nên \(243^5>3\cdot27^5\)
b) \(625^5=\left(5^4\right)^5=5^{20}\)
\(125^7=\left(5^3\right)^7=5^{21}\)
mà \(5^{20}< 5^{21}\)
nên \(625^5< 125^7\)
c) \(202^{303}=\left(202^3\right)^{101}=8242408^{101}\)
\(303^{202}=\left(303^2\right)^{101}=91809^{101}\)
mà \(8242408^{101}>91809^{101}\)
nên \(202^{303}>303^{202}\)
DT
Dang Tung
CTVHS
14 tháng 6 2023
\(\dfrac{11}{-13}=-\dfrac{11}{13}=-\dfrac{13}{13}+\dfrac{2}{13}=-1+\dfrac{2}{13}\\ -\dfrac{14}{15}=-\dfrac{15}{15}+\dfrac{1}{15}=-1+\dfrac{1}{15}\)
Ta thấy : \(\dfrac{1}{15}< \dfrac{1}{13}< \dfrac{2}{13}=>-1+\dfrac{1}{15}< -1+\dfrac{2}{13}\)
hay \(\dfrac{11}{-13}>-\dfrac{14}{15}\)
14 tháng 12 2016
Tớ thấy : A = 1005 x 1005 = 1010025
B = 1000 x 1010 = 1010000
Vậy A > B
14 tháng 12 2016
A = 1005x1005 = (1000+5)x(1010-5) =1000x1010 x 5x1010 - 5x1000 - 25 = 1000x1010 - 25 = B - 25
Vậy B > A
NT
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1
18 tháng 10 2021
a: \(11^{14}< 11^{15}\)
b: \(4^{300}=64^{100}\)
\(3^{400}=81^{100}\)
mà 64<81
nên \(4^{300}< 3^{400}\)
NN
14 tháng 9 2021
a, Có 3 = (3
)
= 9
và 2
= (2
)
= 8
=> 3
> 2
b, Có 6 = (6
)
= 36
=> 6
> 12
26 tháng 1 2023
37,37 x 5959,59 = 37 x 1,01 x 59 x 101,01 = 37 x 59 x 1,01 x 101,01
59,59 x 3737,37 = 59 x 1,01 x 37 x 101,01 = 37 x 59 x 1,01 x 101,01
=> 37,37 x 5959,59 = 59,59 x 3737,37
Kick mik nha
KS
14 tháng 5 2022
`3^(2 + n) và 2^(3 + n) `
`3^(2 + n) = 3^2 xx 3^n = 9 xx 3^n`
`2^(3 + n) = 2^3 xx 2^n = 8 xx 2^n`
ta thấy `9>8 ; 3^n > 2^n `
vậy `3^(2 + n) > 2^(3 + n) `
QT
1
HQ
Hà Quang Minh
Giáo viên
16 tháng 9 2023
a) Ta có: 3,23 < 3,32 nên -3,23 > -3,32
b) Ta có: \( - \frac{7}{3} = \frac{{ - 28}}{{12}}; - 1,25 = \frac{{ - 125}}{{100}} = \frac{{ - 5}}{4} = \frac{{ - 15}}{{12}}\)
Vì -28 < -15 nên \(\frac{{ - 28}}{{12}} < \frac{{ - 15}}{{12}}\) hay \( - \frac{7}{3}\) < -1,25
NQ
2
25 tháng 8 2017
Vì \(2012\times2013< 2012\times2013+1\)và \(2013>2012\)
\(\Rightarrow\)\(\frac{2012\times2013}{2012\times2013+1}< 1< \frac{2013}{2012}\)
\(\Rightarrow\)\(\frac{2012\times2013}{2012\times2013+1}< \frac{2013}{2012}\)
\(\Rightarrow\)\(A< B\)
Vậy \(A< B\)
Bn nào xem Sea Games 29 thì kb và tk nha !!!
=)) Thanks ✌️✌️✌️
25 tháng 8 2017
ta có : \(\frac{2012\times2013}{2012\times2013}\)có giá trị = 1.nên A có giá trị bằng 2
ta thấy : B = 1,000497018 => A > B
nhớ k nhá
QT
1
HQ
Hà Quang Minh
Giáo viên
18 tháng 9 2023
a) Ta có:
\(\begin{array}{l}\frac{{123}}{7} = \frac{{123.4}}{{7.4}} = \frac{{492}}{{28}}\\17,75 = \frac{{1775}}{{100}} = \frac{{71}}{4} = \frac{{71.7}}{{4.7}} = \frac{{497}}{{28}}\end{array}\)
Vì 492 < 497 nên \(\frac{{492}}{{28}} < \frac{{497}}{{28}}\) hay \(\frac{{123}}{7} < 17,75\)
b) Ta có:
\(\begin{array}{l} - \frac{{65}}{9} = \frac{{( - 65).8}}{{9.8}} = \frac{{ - 520}}{{72}}\\ - 7,125 = \frac{{ - 7125}}{{1000}} = \frac{{ - 57}}{8} = \frac{{ - 57.9}}{{8.9}} = \frac{{ - 513}}{{72}}\end{array}\)
Vì 520 > 513 nên -520 < -513. Do đó, \(\frac{{ - 520}}{{72}} < \frac{{ - 513}}{{72}}\) hay \( - \frac{{65}}{9}\) < -7,125
a/
\(625^5=\left(5^4\right)^5=5^{20}\) và \(125^7=\left(5^3\right)^7=5^{21}\)
\(5^{20}