a: \(33^{44}=\left(33^4\right)^{11}\)

\(44^{33}=\left(44^3\right)^{11}\)

mà \(33^4>44^3\)

nên \(33^{44}>44^{33}\)

a: \(33^{44}=1185921^{11}\)

\(44^{33}=85184^{11}\)

mà 1185921>85184

nên \(33^{44}>44^{33}\)

\(a,33^{44}=\left(33^3\right)^{11}=35937^{11}< 85184^{11}=\left(44^3\right)^{11}=44^{33}\\ b,555^{333}=\left(555^3\right)^{111};333^{555}=\left(333^5\right)^{111}\\ \text{Ta có }555^3=5^3\cdot111^3=125\cdot111^3< 243\cdot111^5=3^5\cdot111^5=333^5\\ \Rightarrow555^{333}< 333^{555}\\ c,\left(20^{2016}+11^{2016}\right)^{2017}=\left(20^{2016}+11^{2016}\right)^{2016}\left(20^{2016}+11^{2016}\right)\\ >\left(20^{2016}+11^{2016}\right)^{2016}\cdot20^{2016}\\ =\left(20^{2016}\cdot20+11^{2016}\cdot20\right)^{2016}=\left(20^{2017}+11^{2016}\cdot20\right)^{2016}\\ >\left(20^{2017}+11^{2016}\cdot11\right)^{2016}=\left(20^{2017}+11^{2017}\right)^{2016}\)

a) Ta có: \(8^{28}=2^{84}=16^{21}\)

Mà \(16>15\Rightarrow16^{21}>15^{21}\Rightarrow8^{28}>15^{21}\)

Vậy...

b) \(5^{91}>5^{90}=125^{30}\)   \(\left(1\right)\)

    \(11^{59}< 11^{60}=121^{30}\)                \(\left(2\right)\)

Lại có: \(125>121\)          \(\left(3\right)\)

Từ (1), (2) và (3) suy ra \(5^{91}>11^{59}\)

dài quá ko làm đâu

giúp mình với được ko ạh

giúp mình đi được ko, mình đang cần gấp

Bài 2: So sánh các phân số sau

7/15 > 5/13              11/12 > 7/48        24/35 > 21/7           15/26 > 7/8

33^9<11^21

33⁹ > 11²¹

\(33^9< 11^{21}\)

\(\dfrac{11}{33}=\dfrac{11}{3.11}=\dfrac{1}{3}\)

\(\dfrac{25}{76}< \dfrac{25}{75}=\dfrac{1}{3}\)

\(\Rightarrow\dfrac{11}{33}>\dfrac{25}{76}\)

\(\Rightarrow-\dfrac{11}{33}< -\dfrac{25}{76}\)

\(\Rightarrow\dfrac{-11}{33}< \dfrac{25}{-76}\)