Question

zo zanh 25 ¹⁵ va 8¹⁰ . 3³⁰

Answer 1

\(^{25^{15}}\)=\(\left(5^2\right)^{15}\)=\(5^{30}\)

\(8^{10}.3^{30}=\left(2^3\right)^{^{ }10}.3^{30}=2^{30}.3^{30}=6^{30}\)

Vì \(5^{30}< 6^{30}\)nên \(25^{15}< 8^{10}.3^{30}\)

Answer 2

8^10.3^30= (2^3)^10.3^30 =2^30.3^30 =6^30

25^15 =(5^2)^15 = 5^30

Vì 6^30 > 5^30 => 8^10.3^30 > 25^15

Answer 3

ta có 8¹⁰.3³⁰=8¹⁰.(3³)¹⁰=8¹⁰.27¹⁰=(8.27)¹⁰=216¹⁰=(216²) ⁵=46656⁵

25¹⁵=(25³)⁵=15625⁵

do 46656>15625

=>15625⁵>46656⁵

=>25¹⁵<8¹⁰.3³⁰