Bài làm:
Ta có: \(\left(-32\right)^9=-2^{45}=-2^{13}.2^{32}\)
\(\left(-18\right)^{13}=-2^{13}.3^{26}\)
Mà \(3^{26}>3^{24}=27^8>16^8=2^{32}\)
=> \(-2^{13}.2^{32}>-2^{13}.3^{26}\)
=> \(\left(-32\right)^9>\left(-18\right)^{13}\)
Ta có : \(18^{13}>16^{13}=\left(2^4\right)^{13}=2^{52}\)
\(32^9=\left(2^5\right)^9=2^{45}\)
mà 52 > 45
\(\Rightarrow2^{52}>2^{45}\)
\(\Rightarrow18^{13}>32^9\)
\(\Rightarrow\left(-18\right)^{13}< \left(-32\right)^9\)
