
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


A=(1/243)^9=1/(243^9)=1/(3^5)^9=1/(3^45)<1/(3^48)=1/(3^4)^12=1/(81^12)<1/(82^12)=(1/82)^12=B
vậy A<B

Mình biết nè ! ^v^
\(8^{12}=\left(8^3\right)^4=512^4\)
\(12^8=\left(12^2\right)^4=144^4\)
\(512^4>144^4\)
\(=>8^{12}>12^8\)

\(8^{12}=\left(8^3\right)^4=512^4\)
\(12^8=\left(12^2\right)^4=144^4\)
Vì \(512^4>144^4\)
\(\Rightarrow8^{12}>12^8\)
Ta có: \(8^{12}=\left(8^6\right)^2=262144^2\)
\(12^8=\left(12^4\right)^2=20736^2\)
Vì \(20736^2< 262144^2\) => \(12^8< 8^{12}\)
Vậy \(12^8< 8^{12}\)


\(\frac{12}{47}\)và \(\frac{19}{77}\)
MC(47 và 77)= 3619
Ta có: \(\frac{12}{47}=\frac{12.47}{47.47}=\frac{564}{3619}\)
\(\frac{19}{77}=\frac{19.47}{77.47}=\frac{893}{3619}\)
Suy ra : \(\frac{564}{3619}< \frac{893}{3619}\)
Hoặc \(\frac{893}{3619}>\frac{564}{3619}\)
Vậy : \(\frac{12}{47}< \frac{19}{77}\)
Hay : \(\frac{19}{77}>\frac{12}{47}\)

Ta có
\(31^{12}=\left(31^4\right)^3=923521^3\)
\(17^{15}=\left(17^5\right)^3=1419857^3\)
Ta thấy \(1419857^3>923521^3\)
\(\Rightarrow31^{12}< 17^{15}\)

A=\(\frac{3^{10}+1}{3^9+1}\)>1
=> A=\(\frac{3^{10}+1}{3^9+1}\)> \(\frac{3^{10}+1+2}{3^9+1+2}\)
=>A=\(\frac{3^{10}+1}{3^9+1}\)>\(\frac{3^{10}+3}{3^9+3}\)
=>A=\(\frac{3^{10}+1}{3^9+1}\)>\(\frac{3\left(3^9+1\right)}{3.\left(3^8+1\right)}\)
=>A=\(\frac{3^{10}+1}{3^9+1}\)>\(\frac{3^9+1}{3^8+1}\)=B
vậy A>B
So sánh
829 < 3512
82^9 < 35^12