Question

[Linh Xuân Nguyễn]

So sánh lũy thừa

a) 54⁴     va 21¹²

b) 10²⁰   va 90 ¹⁰

C) 5³⁹  va 27²¹

Answer 1

[Trần Tiến Đức]

ko btttttttttttt

Answer 2

[Vũ Tiến Manh]

a) 54⁴=3⁴.9⁴.2⁴=3⁴.(3²)⁴.2⁴=3⁴.3⁸.2⁴=3¹².2⁴

21¹²=3¹²7¹² > 3¹².2⁴=54⁴

b)10²⁰=10^2.10=100¹⁰ > 90¹⁰

c)5³⁹=\(\frac{5^{40}}{5}=\frac{5^{2.20}}{5}=\frac{25^{20}}{5}\) < \(\frac{27^{20}}{5}< 27.27^{20}=27^{21}\)