Question

7B2%7D%20%7D%7B%20%5Cfrac%7B1%7D%7By%7D%20%7D%20" id="TexFormula1" title=" \frac{ {3x}^{2} }{xy} \times \frac{ {4xy}^{2} }{ \frac{1}{y} } " alt=" \frac{ {3x}^{2} }{xy} \times \frac{ {4xy}^{2} }{ \frac{1}{y} } " align="absmiddle" class="latex-formula">

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{3x^2}{xy}\cdot \cfrac{4xy^2}{\frac{1}{y}}\implies \cfrac{3x^2}{xy}\cdot \cfrac{4xy^2}{y^{-1}}\implies \cfrac{3x^2x^1y^2}{xy^1y^{-1}}\implies \cfrac{3x^{2+1}y^2}{xy^{1-1}} \\\\\\ \cfrac{3x^3y^2}{xy^0}\implies \cfrac{3x^3y^2}{x^1}\implies 3x^3y^2x^{-1}\implies 3x^{3-1}y^2\implies 3x^2y^2$