Ta có: \(\left(-25x^9y^n\right)\cdot\left(-4x^my^8\right)=100x^{24}y^{100}\)
\(\Leftrightarrow\left[\left(-25\right)\cdot\left(-4\right)\right]\cdot\left(x^9\cdot x^m\right)\cdot\left(y^n\cdot y^8\right)=100\cdot x^{24}\cdot y^{100}\)
\(\Leftrightarrow100x^{m+9}\cdot y^{n+8}=100x^{24}y^{100}\)
\(\Leftrightarrow\left\{{}\begin{matrix}m+9=24\\n+8=100\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}m=15\\n=92\end{matrix}\right.\)
Vậy: m=15; n=92
Đúng 1
Bình luận (0)