\(3\sqrt{3}-2\sqrt{2}=\sqrt{27}-\sqrt{8}>\sqrt{25}-\sqrt{9}=5-3\)

\(\Rightarrow3\sqrt{3}-2\sqrt{2}>2\)

3⁵⁴=(3²)²⁷=9²⁷

2⁸¹=(2³)²⁷=8²⁷

Vì 9²⁷>8²⁷ nên 3⁵⁴>2⁸¹

Ta có: 3⁵⁴ = (3²)²⁷=9²⁷

Và: 2⁸¹=(2³)²⁷=8²⁷

Vì 9>8 nên 9²⁷>8²⁷

Vậy 3⁵⁴ >2⁸¹

so sánh3^54 va 2^81

3⁵⁴=(3²)²⁷=9²⁷

2⁸¹=(2³)²⁷=8²⁷

Vì 9²⁷>8²⁷ nên 3⁵⁴>2⁸¹

nhé !

\(3^{200}=9^{100}>4^{100}\\ 5^{200}=25^{100}< 64^{100}=4^{300}\\ 6^{50}=36^{25}>7^{25}\\ 8^{40}=64^{20}>10^{20}\\ 16^{20}=256^{10}>32^{10}\)

tick mik nha!!

3200=9100>41005200=25100<64100=4300650=3625>725840=6420>10201620=25610>3210

a: \(3^{200}=\left(3^2\right)^{100}=9^{100}>4^{100}\)

b: \(5^{200}=\left(5^2\right)^{100}=25^{100}\)

\(4^{300}=\left(4^3\right)^{100}=64^{100}\)

mà 25<64

nên \(5^{200}< 4^{300}\)

c: \(6^{50}=\left(6^2\right)^{25}=36^{25}>7^{25}\)

Trả lời :

Phép so sánh C đúng nhoa bn =))

~ Thiên Mã ~

Đáp án đúng là câu C

Ta có : \(26^{50}>25^{50}=\left(5^2\right)^{50}=5^{100}\)

\(124^{33}< 125^{33}=\left(5^3\right)^{33}=5^{99}\)

\(\Rightarrow5^{99}< 5^{100}\Rightarrow125^{33}< 25^{50}\)

\(\Rightarrow124^{33}< 125^{33}< 25^{50}< 26^{50}\)

\(\Rightarrow26^{50}>124^{33}\)

124/129=1-5/129

456/461=1-5/461

Vì 5/129>5/461=>124/129<456/461

Ta có :

\(1-\frac{124}{129}=\frac{5}{129}\)

\(1-\frac{456}{461}=\frac{5}{461}\)

Vì : \(\frac{5}{129}>\frac{5}{461}\)nên \(\frac{124}{129}< \frac{456}{461}\)

                                     Đ/S :...

\(\frac{124}{129}< \frac{456}{461}\)

\(5^{21}\) và \(124^{10}\)

\(124^{10}>75^{10}=5^{10}\cdot5^{10}\cdot3^{10}=5^{10+10}\cdot3^{10}=5^{20}\cdot3^{10}\)

\(5^{21}=5^{20}\cdot5\)

Vì \(5< 3^{10}\Rightarrow5^{20}\cdot5< 5^{20}\cdot3^{10}< 124^{10}\) 

vậy \(5^{21}< 124^{10}\)

Lớn hơn

Ta có 124124/125125 = 124/125

1 - 123/124 = 1/124 ; 1 - 124/125 = 1/125

Vì 1/124 > 1/125 nên 124124/125125 > 123/124

So sanh cac phan so sau 123/124 va 123123/124124