Answer: Option D
D. [tex]\frac{3n^{3}}{5m^{2}}[/tex]
Step-by-step explanation:
Use the following property of the exponents to simplify the expression.
We know that:
[tex]a^{-x}=\frac{1}{a^x}[/tex]
So for the expression
[tex]\frac{3m^{-2}}{5n^{-3}}[/tex]
Using the aforementioned property we have that:
[tex]\frac{3m^{-2}}{5n^{-3}}= \frac{3*\frac{1}{m^2}}{5*\frac{1}{n^3}}\\\\\\\frac{3*\frac{1}{m^2}}{5*\frac{1}{n^3}}=\frac{3n^{3}}{5m^{2}}[/tex]
Finally the answer is the option D
