Question

Simplify expression

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------$

$\bf \cfrac{6cd^4\times -2d^5}{c^3(6d^4)^2}\implies \cfrac{(6\cdot -2)cd^4d^5}{c^3(6^2d^{4\cdot 2})}\implies \cfrac{-12cd^4d^5}{c^336d^8} \\\\\\ \cfrac{-12}{36}\cdot \cfrac{cd^4d^5}{c^3d^8}\implies -\cfrac{1}{3}\cdot \cfrac{d^4d^5d^{-8}}{c^3c^{-1}}\implies \cfrac{1}{3}\cdot \cfrac{d^{4+5-8}}{c^{3-1}}\implies \cfrac{d}{3c^2}$