Question

[Doãn Tuấn Minh]

Giúp mik Bài 8 phần b, c, d với

Answer 1

[Nguyễn Hoàng Minh]

\(8,\\ b,4^{333}=\left(4^3\right)^{111}=64^{111}< 81^{111}=\left(3^4\right)^{111}=3^{444}\\ c,2^{500}=\left(2^5\right)^{100}=32^{100}>25^{100}=\left(5^2\right)^{100}=5^{200}\\ d,2^{375}=\left(2^3\right)^{125}=8^{125}< 9^{125}=\left(3^2\right)^{125}=3^{250}\)

Answer 2

[Nguyễn Lê Phước Thịnh]

b: \(4^{333}=\left(4^3\right)^{111}=64^{111}\)

\(3^{444}=\left(3^4\right)^{111}=81^{111}\)

mà 64<81

nên \(4^{333}< 3^{444}\)

c: \(2^{500}=\left(2^5\right)^{100}=32^{100}\)

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

mà 32>25

nên \(2^{500}>5^{200}\)