5^18  

5^16

=> >

Trả lời

125⁶ > 25⁸

3⁵⁰ > 2⁷⁵

Học tốt nha !

trả lời 

\(125^6>25^8\)

\(3^{50}>2^{75}\)

hc tốt

125⁶ và 25⁸

125⁶=125.125.125.125.125.125=5³.5³.5³.5³.5³.5³=5^3+3+3+3+3+3=5¹⁸

25⁸=25.25...25(8 chữ số 25)=5².5²...5²(8 chữ số 5²)=5^{2+2+2+2+2+2+2+2}=5¹⁶

Vì 5¹⁸>5¹⁶

=> 125⁶>25⁸

350² và 2⁷⁵

350²=350.350=2.5².7.2.5².7=2².5⁴.7²

2⁷⁵=2.2.2....2(75 chữ số 2)=2⁴.2¹⁰.2⁶..2⁵⁰

Vì 2².5⁴.7²<2⁴.2¹⁰.2⁶(2²<2⁴;5⁴<2¹⁰;7²<2⁶)

=>350²<2⁷⁵

Chúc bạn học tốt!

a, \(2^{15}=\left(2^3\right)^5=8^5\)

Vì \(8^5< 27^5\Rightarrow2^{15}< 27^5\)

b, \(4^8=\left(2^2\right)^8=2^{16}\)

\(8^6=\left(2^3\right)^6=2^{18}\)

Vì \(2^{16}< 2^{18}\Rightarrow4^8< 8^6\)

c, \(25^6=\left(5^2\right)^6=5^{12}\)

\(125^5=\left(5^3\right)^5=5^{15}\)

Vì \(5^{12}< 5^{15}\Rightarrow25^6< 125^5\)

25¹¹ > 125⁷

3⁵⁴ > 2⁸¹

\(25^{118}=\left(5^2\right)^{118}=5^{236}\)

\(125^{80}=\left(5^3\right)^{80}=5^{240}\)

Vì 236<240 suy ra \(5^{236}< 5^{240}\Leftrightarrow25^{118}< 125^{80}\)

\(25^{118}=\left(5^2\right)^{118}=5^{236}\)

\(125^{80}=\left(5^3\right)^{80}=5^{240}\)

vi \(5^{236}< 5^{240}\) nen \(25^{118}< 125^{80}\)

25¹¹⁸ = (5²)¹¹⁸ = 5²³⁶

125⁸⁰ = (5³)⁸⁰ = 5²⁸⁰

Vì 5²³⁶ < 5²⁸⁰ nên 25¹¹⁸ < 125⁸⁰

\(a,4^{333}=\left(4^3\right)^{111}=64^{111}< 81^{111}=\left(3^4\right)^{111}=3^{444}< 3^{445}\\ b,39^{15}>36^{15}=\left(6^2\right)^{15}=6^{30}\\ c,25^{45}=\left(5^2\right)^{45}=5^{90}< 5^{102}=\left(5^3\right)^{34}=125^{34}\)

a) \(81^{40}=\left(3^4\right)^{40}=3^{160}\)

   \(27^{14}=\left(3^3\right)^{14}=3^{42}\)

Vì \(3^{160}>3^{42}\) => \(81^{40}>27^{14}\)

b) \(5^{64}=5^{4.16}=625^{16}\)

   \(3^{96}=3^{6.16}=729^{16}\)

Vì \(625^{16}< 729^{16}\)=> \(5^{64}< 3^{96}\)

c) \(125^{12}=\left(5^3\right)^{12}=5^{36}\)

   \(25^{10}=\left(5^2\right)^{10}=5^{20}\)

Vì \(5^{36}>5^{20}\)=> \(125^{12}>25^{10}\)

T_i_c_k nha,mơn bạn nhìu ^^

a, 81⁴⁰>27¹⁴

b, 5⁶⁴<3⁹⁶

c, 125¹²<25¹⁰

a. 81⁴⁰  lớn hơn 27¹⁴

b. 5⁶⁴ bé hơn 3⁹⁶

^c. 125¹² lớn hơn 25¹⁰

k cho mk nhá