\(\left(\frac{-1}{16}\right)^{100}\)và\(\left(\frac{-1}{2}\right)^{500}\)
Ta có: \(\left(\frac{-1}{16}\right)^{100}=[\left(\frac{-1}{2}\right)^4]^{100}=[\left(\frac{1}{2}\right)^4]^{100}=\left(\frac{1}{2}\right)^{400}\)
Mà: \(\left(\frac{-1}{2}\right)^{500}=\left(\frac{1}{2}\right)^{500}>\left(\frac{1}{2}\right)^{400}\)
Vậy \(\left(\frac{-1}{2}\right)^{500}>\left(\frac{-1}{16}\right)^{100}\)