TRả lời :
-8x9 = - 32x5
học tốt !!!
Ta có: \(\left(-8\right)^9=\left[\left(-2\right)^3\right]^9=\left(-2\right)^{27}\)
\(\left(-32\right)^5=\left[\left(-2\right)^5\right]^5=\left(-2\right)^{25}\)
Vì \(27>25\) nên \(\left(-2\right)^{27}< \left(-2\right)^{25}\)
\(\Rightarrow\left(-8\right)^9< \left(-32\right)^5\)
Vậy \(\left(-8\right)^9< \left(-32\right)^5\).
Ta có: \(8^9=\left(2^3\right)^9=2^{3.9}=2^{27}\)
\(32^5=\left(2^5\right)^5=2^{5.5}=2^{25}\)
Vì \(27>25\)\(\Rightarrow2^{27}>2^{25}\)
\(\Rightarrow-2^{27}< -2^{25}\)
hay \(-8^9< -32^5\)