Question

Divide ] m^2n^3/p3 by mp/n^2

Answer 1

`\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)} \qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}} \\\\ -------------------------------\\\\ \cfrac{x^ay^(-b)z^c}{x^(-d)y^ez^f}\implies \cfrac{x^ax^dz^cz^(-f)}{y^ey^b}\implies \cfrac{x^(a+d)z^(c-f)}{y^(e+b)} \\\\\\ and\qquad \qquad \cfrac{(a)/(b)}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\\\\ -------------------------------\\\\`


`\bf \cfrac{(m^2n^3)/(p^3)}{(mp)/(n^2)}\implies \cfrac{m^2n^3}{p^3}\cdot \cfrac{n^2}{mp}\implies \cfrac{m^2n^3n^2}{p^3m^1p^1}\implies \cfrac{m^2m^(-1) n^3n^2}{p^3p^1} \\\\\\ \cfrac{m^(2-1)n^(3+2)}{p^(3+1)}\implies \cfrac{m^1n^5}{p^4}\implies \boxed{\cfrac{mn^5}{p^4}}`