Answer: The product is [tex]10m^{-5}[/tex]
Step-by-step explanation:
Since we have given that
[tex](5m^{-2})(2m^{-3})[/tex]
We need to find the product:
[tex]5m^{-2}\times 2m^{-3}\\\\\\=\dfrac{5}{m^2}\times \dfrac{2}{m^3}(\because a^{-m}=\dfrac{1}{a^m})\\\\\\=\dfrac{5\times 2}{m^{2+3}}\\\\\\=\dfrac{10}{m^5}[/tex]
Hence, the product is [tex]\dfrac{10}{m^5}=10m^{-5}[/tex]
