Question

Find the product of 80x^4/y^3 ×xy/5x^2

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{80x^4}{y^3}\times \cfrac{xy}{5x^2}\implies \cfrac{80x^4xy}{y^35x^2}\implies \cfrac{80x^4xx^{-2}}{5y^3y^{-1}}\implies \cfrac{80x^4x^1x^{-2}}{5y^3y^{-1}} \\\\\\ \cfrac{16x^{4+1-2}}{y^{3-1}}\implies \cfrac{16x^3}{y^2}$