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

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

Vì \(81>64\)   

Nên \(81^{111}>64^{111}\)   

Vậy \(3^{444}>4^{333}\)

\(a=\left[\left(-\dfrac{1}{2}\right)^5\right]^{107}=\left(-\dfrac{1}{32}\right)^{107}\)

\(b=\left[\left(-\dfrac{1}{3}\right)^3\right]^{107}=\left(-\dfrac{1}{27}\right)^{107}\)

mà -1/32>-1/27

nên a>b

a>b

?? = 444

? =445

\(\Rightarrow\) ? > ??

tk mik nha

nhanh tk cho

444

444

bang nhau

K nhe

\(\frac{72}{167}>\frac{71}{169}\)

\(\frac{63}{314}< \frac{65}{321}\)

\(\frac{25}{101}< \frac{46}{180}\)

\(\frac{339}{322}\)và \(\frac{338}{321}\)

Ta có : \(\frac{339}{322}-1=\frac{17}{322};\frac{338}{321}-1=\frac{17}{321}\).

Vì \(\frac{17}{322}< \frac{17}{321}\)nên \(\frac{339}{322}< \frac{338}{321}\).

\(\frac{2017}{2014}\)và \(\frac{2018}{2015}\)

Ta có : \(\frac{2017}{2014}-1=\frac{3}{2014};\frac{2018}{2015}-1=\frac{3}{2015}\)

Vì \(\frac{3}{2014}>\frac{3}{2015}\)nên \(\frac{2017}{2014}>\frac{2018}{2015}\).

\(\frac{511}{514}\)và \(\frac{513}{516}\)

Ta có : \(1-\frac{511}{514}=\frac{3}{514};1-\frac{513}{516}=\frac{3}{516}\)

Vì \(\frac{3}{514}>\frac{3}{516}\)nên \(\frac{511}{514}< \frac{513}{516}\).

\(\frac{3005}{3000}\)và \(\frac{3010}{3005}\)

Ta có : \(\frac{3005}{3000}-1=\frac{5}{3000};\frac{3010}{3005}-1=\frac{5}{3005}\)

Vì \(\frac{5}{3000}>\frac{3}{3005}\)nên \(\frac{3005}{3000}>\frac{3010}{3005}\).

~ Chúc bn hok tốt ~

ta có: 3215/3216 <1

3104/3103>1

suy ra: 3215/3216 < 3104/3103