Question

Someone pls me out with this problem. Divide m2n2/p3 by mp/n2

Answer 1

`(mn^5)/(p^4)`

Explanation:

As with dividing any fractions, invert the denominator and multiply. Use the rules of exponents to combine factors.

`((m^2n^3)/(p^3))/((mp)/(n^2))=(m^2n^3)/(p^3)\cdot(n^2)/(mp)\\\\=(m^2n^3n^2)/(p^3mp)=(m^(2-1)n^(3+2))/(p^(3+1))=(mn^5)/(p^4)`

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The applicable rules are ...

`a^ba^c=a^(b+c)\\\\(a^b)/(a^c)=a^(b-c)`