C1: \(1-\frac{2}{5}=\frac{3}{5}\)

\(1-\frac{11}{14}=\frac{3}{14}\)

Vì \(\frac{3}{5}>\frac{3}{14}\Rightarrow\frac{2}{5}

\(26^{14}>25^{14}=\left(5^2\right)^{14}=5^{28}\)

\(5^{30}=\left(5^3\right)^{10}=125^{10}>124^{10}\)

\(4^{21}=\left(4^3\right)^7=64^7>64^2\)

\(27^{16}.16^9=\left(3^3\right)^{16}.\left(4^2\right)^9=3^{48}.4^{18}>12^{18}=3^{18}.4^{18}\)

\(31^{11}16^{14}=\left(2^4\right)^{14}=2^{56}\)

\(2^{56}>2^{55}\) => \(17^{14}>31^{11}\)

Các bài khác làm tương tự

Do 5⁶ > 0

-2¹⁴ < 0

=> 5⁶ > -2¹⁴

11/18.

5/8

5/13.

Chúc bạn may mắn nhé!

Ta có :

\(31^{11}<32^{11}=\left(2^5\right)^{11}=2^{55}\)

và \(17^{14}>16^{14}=\left(2^4\right)^{14}=2^{56}\)

Mà 2⁵⁵ < 2⁵⁶ nên ta được 31¹¹ < 2⁵⁵ < 2⁵⁶ < 17¹⁴

Vậy 31¹¹ < 17¹⁴

Ta có :

\(\frac{12}{13}=1-\frac{1}{13}\)

\(\frac{13}{14}=1-\frac{1}{14}\)

Vì \(\frac{1}{13}>\frac{1}{14}\)nên \(1-\frac{1}{13}< 1-\frac{1}{14}\)

Vậy \(\frac{12}{13}< \frac{13}{14}\)

Ta thấy:

\(\frac{12}{13}=1-\frac{1}{13}\)

\(\frac{13}{14}=1-\frac{1}{14}\)

Vì 13<14.

=>\(\frac{1}{13}>\frac{1}{14}\)

=>\(1-\frac{1}{13}< 1-\frac{1}{14}\)

=>\(\frac{12}{13}< \frac{13}{14}\)

Vậy......

\(\frac{12}{13}\)và \(\frac{13}{14}\)

Ta có : \(\frac{12}{13}=\frac{12}{13}+\frac{1}{13}\)  ;   \(\frac{13}{14}=\frac{13}{14}+\frac{1}{14}\)

Ta thấy \(\frac{1}{13}>\frac{1}{14}\)=> \(\frac{12}{13}< \frac{13}{14}\)