So sanh
a) \(16^{19}\)va \(8^{25}\)
b) \(3^{2n}\) va \(2^{3n}\)
c) \(5^{36}\) va \(11^{24}\)
so sánh:
a,1619 va 825
b,3111 va 1714
c,2711 va 818
d,536 va 1124
e,32n va 23n
f,19920 va 200315
a) Ta có:
1619= (24)19=276
825=(23)25=275
Vì 276>275=> 169>825
b)Ta có:
3111<3211 = (25)11=255
1714>1614 =(24)14=256
Vì 255<256=> 3211 <1614
=>3111<1714
c)Ta có:
2711=(33)11=333
818=(34)8=332
Vì 333 >332=> 2711>818
e)Ta có:
32n =(32)n=9n
23n=(23)n=8n
Vì 9n>8n=>32n>23n
d)Ta có:
536= (53)12=12512
1124=(112)12 =12112
Vì 12512>12112
=>536>1124
so sánh:
a,1619 va 825
b,2711 va 818
c,536 va 1124
a) Ta có : \(16^{19}=\left(2^4\right)^{19}=2^{4\cdot19}=2^{76}\)
\(8^{25}=\left(2^3\right)^{25}=2^{3\cdot25}=2^{75}\)
Vì \(76>75\Rightarrow2^{76}>2^{75}\Rightarrow16^{19}>8^{25}\)
b) Ta có : \(27^{11}=\left(3^3\right)^{11}=3^{3\cdot11}=3^{33}\)
\(81^8=\left(3^4\right)^8=3^{4\cdot8}=3^{32}\)
Vì \(33>32\Rightarrow3^{33}>3^{32}\Rightarrow27^{11}>81^8\)
bai 1;tinh
(x+\(\frac{1}{4}\)-\(\frac{1}{3}\)) . (2+\(\frac{1}{6}\)-\(\frac{1}{4}\)) =\(\frac{7}{46}\)
bai 2 so sanh
a. \(^{16^{19}}\)va \(8^{25}\)
b. \(27^{11}\)va \(81^8\)
c. \(625^5\)va\(125^7\)
d. \(5^{36}\)va\(11^{24}\)
e. \(3^{2n}\) va\(2^{3n}\)
g. \(5^{23}\)va 6.\(5^{22}\)
(x+1/4-1/3).(13/6-1/4)=7/46
(x+1/4-1/3).23/12=7/46
(x+1/4-1/3)=7/46:23/12
(x+1/4-1/3)=7/46.12/23
(x+1/4-1/3)=42/529
x+1/4=42/529+1/3
x+1/4=655/1587
x=655/1587-1/4
x=1033=/6348
vậy x=1033/6348
SO SANH 2 So sau
a, 2^10 va 8^4
b 3^2n va 2^3n n E N
c 2^105 va 5^45
TICK NHE AI NHANh
mk nha,nếu mk có thiếu thì bn cũng cho sai phải ko nhưng bn chỉ bảo là ai nhanh thôi chứ bn có bảo ai đúng đâu,nên mk nha
bai 1: so sanh
a)371320 va 111979
b)2711va 818
c)32n va 234
d)339 va 1121
e)536 va 1124
g)2115 va 27* 498
f)19920 va 200315
a/
\(37^{1320}=\left(37^2\right)^{660}=1369^{660}\)
\(11^{1979}< 11^{1980}=\left(11^3\right)^{660}=1331^{660}\)
\(\Rightarrow1363^{660}>1331^{660}\Rightarrow37^{1320}>11^{1979}\)
b/
\(27^{11}=\left(3^3\right)^{11}=3^{33}\)
\(81^8=\left(3^4\right)^8=3^{32}\)
\(\Rightarrow27^{11}>81^8\)
d/
\(3^{39}< 3^{40}=\left(3^2\right)^{20}=9^{20}< 9^{21}< 11^{21}\)
e/ \(5^{36}=\left(5^3\right)^{12}=125^{12}\)
\(11^{24}=\left(11^2\right)^{12}=121^{12}\)
\(\Rightarrow5^{36}>11^{24}\)
g/ \(21^{15}=3^{15}.7^{15}\)
\(27.49^8=3^3.\left(7^2\right)^8=3^3.7^{16}\)
\(\frac{21^{15}}{27.49^8}=\frac{3^{15}.7^{15}}{3^3.7^{16}}=\frac{3^{12}}{7}>1\Rightarrow21^{15}>27.49^8\)
f/ \(199^{20}=\left(199^4\right)^5\)
\(2003^{15}=\left(2003^3\right)^5\)
\(2003^5>1990^5\)
\(\frac{1990^5}{199^4}=\frac{199^5.10^5}{199^4}=199.10^5>1\)
\(\Rightarrow2003^5>1990^5>199^4\Rightarrow2003^{15}>199^{20}\)
so sánh:
a,1619 va 825 b,3111 va 1714
c,32n va 23n d,2711 va 818
e,536 va 1124 f,19920 va 20015
so sanh cac so huu ti sau:
a.x=-3/5 va y=2/-3
b.x=35/84 va y=8/15
c.x=-5/4 va y=-3/8
d.x=-3/100 va y=2/3
e.x=8/9 va y=19/18
f.x=1250/1251 va y=25/24
1) tim x biết:
a) (19.x +2.5^2) : 14=(13-8)^2 - 4^2
b) 2.3^x=10.3^12+8.27^4
2) so sanh
a) 5^23 va 6.5^22
b)21^15 va 27^5.49^8
c)3^39 va 11^21
d) 7.2^13 va 2^16