[ ( 1 phần 9 : 8 phần 27 ) ] : 81 phần 128
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a) Ta có :
\(27^{27}>27^{26}=\left(27^2\right)^{13}=729^{13}>243^{13}\)
\(\Rightarrow27^{27}>243^{13}\)
\(\Rightarrow-27^{27}< -243^{13}\)
\(\Rightarrow\left(-27\right)^{27}< \left(-243\right)^{13}\)
b) \(\left(\dfrac{1}{8}\right)^{25}>\left(\dfrac{1}{8}\right)^{26}=\left(\dfrac{1}{8^2}\right)^{13}=\left(\dfrac{1}{64}\right)^{13}>\left(\dfrac{1}{128}\right)^{13}\)
\(\Rightarrow\left(\dfrac{1}{8}\right)^{25}>\left(\dfrac{1}{128}\right)^{13}\)
\(\Rightarrow\left(-\dfrac{1}{8}\right)^{25}< \left(-\dfrac{1}{128}\right)^{13}\)
c) \(4^{50}=\left(4^5\right)^{10}=1024^{10}\)
\(8^{30}=\left(8^3\right)^{10}=512^{10}< 1024^{10}\)
\(\Rightarrow4^{50}>8^{30}\)
d) \(\left(\dfrac{1}{9}\right)^{17}< \left(\dfrac{1}{9}\right)^{12}< \left(\dfrac{1}{27}\right)^{12}\)
\(\Rightarrow\left(\dfrac{1}{9}\right)^{17}< \left(\dfrac{1}{27}\right)^{12}\)
a) Ta có :
2727>2726=(272)13=72913>243132727>2726=(272)13=72913>24313
⇒2727>24313⇒2727>24313
⇒−2727<−24313⇒−2727<−24313
⇒(−27)27<(−243)13⇒(−27)27<(−243)13
b) (18)25>(18)26=(182)13=(164)13>(1128)13(81)25>(81)26=(821)13=(641)13>(1281)13
⇒(18)25>(1128)13⇒(81)25>(1281)13
⇒(−18)25<(−1128)13⇒(−81)25<(−1281)13
c) 450=(45)10=102410450=(45)10=102410
830=(83)10=51210<102410830=(83)10=51210<102410
⇒450>830⇒450>830
d) (19)17<(19)12<(127)12(91)17<(91)12<(271)12
⇒(19)17<(127)12⇒(91)17<(271)12
\(=1\frac{364}{729}\)\(=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}=1+\frac{243}{729}+\frac{81}{729}+\frac{27}{729}+\frac{9}{729}+\frac{3}{729}+\frac{1}{729}=1\frac{ }{ }\)
1. Tinh:
a) 1 + 1 phần 3 + 1 phần 9 + 1 phần 27 + 1 phần 81 = 81/81 + 27/81 + 9/81 + 3/81 + 1/81 = 121/81
a) \(27^{64}:81^{20}=3^{192}:3^{80}=3^{112}\)
b) \(\left(\dfrac{1}{8}\right)^{20}:\left(\dfrac{1}{16}\right)^9=\left(\dfrac{1}{2}\right)^{60}:\left(\dfrac{1}{2}\right)^{36}=\left(\dfrac{1}{2}\right)^{24}\)
c) \(\dfrac{1}{3}:\dfrac{1}{5}-\dfrac{1}{6}=\dfrac{5}{3}-\dfrac{1}{6}=\dfrac{10}{6}-\dfrac{1}{6}=\dfrac{9}{6}=\dfrac{3}{2}\)
a) A={x e N I81<X<87
b) 82;83;84;85;86
8:tính nhanh
a)=383
b)=16000
c)=3200
d)=2400
e)=11000
f)=36900
g)=39039
h)=26973
i)=12800
B={x\(\in\)N|x=3k; 1<=k<=4}
C={x\(\in\)N|x=4*a2; 1<=a<=5}
D={x\(\in\)N|x=9*a2;1<=a<=4}
E={x\(\in\)N|x=4k; 0<=x<=4}
G={x\(\in\)N|x=(-3)^k; 1<=k<=4}
\(\frac{16}{27}\) tích mình nha !