2^1993>7^714

\(\hept{\begin{cases}\frac{300}{-299}< -1\\-\frac{500}{507}>-1\end{cases}}\Rightarrow\frac{300}{-299}< -\frac{500}{507}\)

\(\frac{300}{-299}\)> \(\frac{300}{-300}\)= -1 = \(\frac{-500}{500}\)> \(\frac{-500}{507}\)

#nguyenthiphuonganh

#hatsunemiku

Mình làm lộn nhé!

\(\frac{300}{-299}< \frac{300}{-300}=-1=\frac{-500}{500}< \frac{-500}{507}\)

Cho mình xin lỗi

      \(2^{10}=1024< 1029=3.7^3\)

\(\Leftrightarrow\left(2^{10}\right)^{238}< \left(3.7^3\right)^{238}\)

\(\Leftrightarrow2^{2380}< 3^{238}.7^{714}\) \(\left(1\right)\)

      \(3^5=243< 256=2^8\) \(\left(2\right)\)

      \(3^3=27< 32=2^5\) \(\left(3\right)\)

      Từ \(\left(2\right)\), \(\left(3\right)\) ta có:

      \(3^{328}=3^3.3^{325}=3^3\left(3^5\right)^{47}< 2^5\left(2^8\right)^{47}=2^{381}\)\(\left(4\right)\)

      Từ \(\left(1\right)\), \(\left(4\right)\) ta có:

      \(2^{2380}< 3^{238}.7^{714}\)

\(\Leftrightarrow2^{2380}< 2^{381}.7^{714}\)

\(\Leftrightarrow2^{1999}< 7^{714}\)

\(\Leftrightarrow2^{1993}< 7^{714}\).

ta có: \(\frac{300}{-299}< -1\)

\(\frac{-500}{507}>-1\)

\(\Rightarrow\frac{300}{-299}< \frac{-500}{507}\Rightarrow x< y\)

\(x=\frac{300}{-299};y=\frac{-500}{507}\)

Ta có ;  \(\frac{300}{299}>1\)             \(\frac{500}{507}< 1\)

\(\frac{300}{299}>\frac{500}{507}\)

\(\Rightarrow\frac{300}{-299}< \frac{-500}{507}\)

hok tốt

\(^{x=\frac{300}{-299}}\)<\(^{x=\frac{-500}{507}}\)

k mik nha!

giúp em với

cái này dùng phân số trung gian thôi

-313/370 < -313/371 < -314/371

nên -313/370 < -314/371

các câu sau tương tự

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