Answer:
[tex]\dfrac{mn^5}{p^4}[/tex]
Step-by-step explanation:
As with dividing any fractions, invert the denominator and multiply. Use the rules of exponents to combine factors.
[tex]\dfrac{\dfrac{m^2n^3}{p^3}}{\dfrac{mp}{n^2}}=\dfrac{m^2n^3}{p^3}\cdot\dfrac{n^2}{mp}\\\\=\dfrac{m^2n^3n^2}{p^3mp}=\dfrac{m^{2-1}n^{3+2}}{p^{3+1}}=\dfrac{mn^5}{p^4}[/tex]
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The applicable rules are ...
[tex]a^ba^c=a^{b+c}\\\\\dfrac{a^b}{a^c}=a^{b-c}[/tex]
