\(-\frac{1}{27}=-\frac{1}{3^3}\) => \(\left(-\frac{1}{27}\right)^{53}=\left(\left(-\frac{1}{3}\right)^3\right)^{53}=\left(-\frac{1}{3}\right)^{159}\)
\(-\frac{1}{243}=-\frac{1}{3^5}\) => \(\left(-\frac{1}{243}\right)^{23}=\left(\left(-\frac{1}{3}\right)^5\right)^{23}=\left(-\frac{1}{3}\right)^{115}\)
vẬY \(\left(-\frac{1}{27}\right)^{53}< \left(-\frac{1}{243}\right)^{23}\)
\(\left(\frac{-1}{27}\right)^{53}\)=\(\left(\frac{-1}{3}\right)^{3X53}\)=\(\left(\frac{-1}{3}\right)^{159}\)
\(\left(\frac{-1}{243}\right)^{23}\)=\(\left(\frac{-1}{3}\right)^{5X23}\)=\(\left(\frac{-1}{3}\right)^{115}\)
=>\(\left(\frac{-1}{3}\right)^{159}\)>\(\left(\frac{-1}{3}\right)^{115}\)
=>\(\left(\frac{-1}{27}\right)^{53}\)>\(\left(\frac{-1}{243}\right)^{23}\)
