Answer:
m⁴n³n
Explanation:
Given the expression:
[tex]\frac{mn^3}{m^{-3}}[/tex]We can write the negative exponent as a fraction:
[tex]\begin{gathered} mn^3\div m^{-3} \\ =mn^3\div\frac{1}{m^3}\text{ (Change the division to multiplication)} \\ =mn^3\times m^3\text{ (Reorder to combine like terms)} \\ =m\times m^3\times n^3 \\ =m^4\times n^3 \\ =m^4n^3 \end{gathered}[/tex]The simplified expression is m⁴n³.
