Question

So sanh:

a/ \(2^{225}\)va \(3^{150}\)

b/ \(3^{34}\)va \(5^{21}\)

c/ \(3^{21}\)va \(2^{31}\)

d/ \(2^{91}\)va \(5^{35}\)

e/ \(99^{20}\)va \(9999^{10}\)

f/ \(12^8.9^{12}\)va \(18^{16}\)

g/ \(75^{20}\)va \(45^{10}.5^{30}\)

Answer 1

a, 2²²⁵ = (2³)⁷⁵ = 8⁷⁵

3¹⁵⁰ = (3²)⁷⁵ = 9⁷⁵

Vì 8⁷⁵ < 9⁷⁵ nên 2²²⁵ < 3¹⁵⁰

b, 3³⁴ > 3³⁰ = (3³)¹⁰ = 27¹⁰

5²¹ > 5²⁰ = (5²)¹⁰ = 25¹⁰

Vì 27¹⁰ > 25¹⁰ => 3³⁰ > 5²⁰ => 3³⁴ > 5²¹

c, 3²¹ > 3²⁰ = (3²)¹⁰ = 9¹⁰

2³¹ > 2³⁰ = (2³)¹⁰ = 8¹⁰

Vì 9¹⁰ > 8¹⁰ => 3²¹ > 2³¹

d, 2⁹¹ > 2⁹⁰ = (2⁵)¹⁸ = 32¹⁸

5³⁵ < 5³⁶ = (5²)¹⁸ = 25¹⁸

Vì 32¹⁸ > 25¹⁸ => 2⁹¹ > 5³⁵

e, 99²⁰ = (99²)¹⁰ = 9801¹⁰ < 9999¹⁰

f, 12⁸.9¹² = 3⁸.4⁸.3²⁴ = 3³².2¹²

18¹⁶ = 2¹⁶.9¹⁶ = 2¹⁶.3³²

Vì 3³² . 2¹² < 2¹⁶.3³² => 12⁸.9¹² < 18¹⁶

g, 75²⁰ = 25²⁰.3²⁰ = 5⁴⁰.3²⁰

45¹⁰.5³⁰ = 5¹⁰.9¹⁰.5³⁰ = 5⁴⁰.3²⁰

Vậy 75²⁰ = 45¹⁰.5³⁰

Answer 2

what ?

Answer 3

a) \(2^{225}\)và \(3^{150}\)

Ta có: \(2^{225}\)= \(\left(2^9\right)^{25}\)= \(512^{25}\)

            \(3^{150}\)= \(\left(3^6\right)^{25}\)= \(729^{25}\)

Vì \(512^{25}\)< \(729^{25}\) nên \(2^{225}< 3^{150}\)

Vậy...

Các câu kia làm tương nha^^

Answer 4

 Ta co:

\(2^{225}=\left(2^3\right)^{75}=8^{75}\)

\(3^{150}=\left(3^2\right)^{75}=9^{75}\)

Vif \(9^{75}>8^{75}\)nen \(2^{225}< 3^{150}\)

Answer 5

P/s : Đúng nha

a, 2²²⁵ = (2³)⁷⁵ = 8⁷⁵

3¹⁵⁰ = (3²)⁷⁵ = 9⁷⁵

Vì 8⁷⁵ < 9⁷⁵ nên 2²²⁵ < 3¹⁵⁰

b, 3³⁴ > 3³⁰ = (3³)¹⁰ = 27¹⁰

5²¹ > 5²⁰ = (5²)¹⁰ = 25¹⁰

Vì 27¹⁰ > 25¹⁰ => 3³⁰ > 5²⁰ => 3³⁴ > 5²¹

c, 3²¹ > 3²⁰ = (3²)¹⁰ = 9¹⁰

2³¹ > 2³⁰ = (2³)¹⁰ = 8¹⁰

Vì 9¹⁰ > 8¹⁰ => 3²¹ > 2³¹

d, 2⁹¹ > 2⁹⁰ = (2⁵)¹⁸ = 32¹⁸

5³⁵ < 5³⁶ = (5²)¹⁸ = 25¹⁸

Vì 32¹⁸ > 25¹⁸ => 2⁹¹ > 5³⁵

^{~ Ủng hộ nhé}