\(\dfrac{-5}{14}\) và \(\dfrac{-4}{11}\)

= \(\dfrac{-55}{154}\) >\(\dfrac{-56}{154}\)

Ta có : \(\dfrac{-5}{14}=\dfrac{-20}{56}\) ; \(\dfrac{-4}{11}=\dfrac{-20}{55}\)

Vì \(\dfrac{-20}{56}>\dfrac{-20}{55}\) nên \(\dfrac{-5}{14}>\dfrac{-4}{11}\)

\(\dfrac{-5}{14}\)=\(\dfrac{\left(-5\right).11}{14.11}\)

=\(\dfrac{-55}{154}\)

\(\dfrac{-4}{11}\)=\(\dfrac{\left(-4\right).14}{11.14}\)

=\(\dfrac{-56}{154}\)

Vì -55<-56 nên \(\)

\(\dfrac{-55}{154}\)<\(\dfrac{-56}{154}\)hay \(\dfrac{-5}{14}\)<\(\dfrac{-4}{11}\)

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

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

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

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

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

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

Các bài khác làm tương tự

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

\(31^{11}>22^{11}=2^{11}.11^{11}>11^3.11^{11}=11^{14}\)

theo bài ra ta có:
17^14=17^14>16^14=(2^4)^14=2^56>2^55=(2^5)^11=32^ 11>31^11
17^14>31^11
hay 17^14>31^11

Tick nhé 

a, 9^5>27^3

​b,3^200>2^300

​c, 32^11<17^14