Question

Which expression is equivalent to 3x^-6y^-3/15x^2y^10 ? Assume x=0 and y=0

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{3x^{-6}y^{-3}}{15x^2y^{10}}\implies \cfrac{3}{15}\cdot \cfrac{x^{-6}y^{-3}}{x^2y^{10}}\implies \cfrac{1}{5}\cdot \cfrac{1}{x^2x^6y^{10}y^3} \\\\\\ \cfrac{1}{5}\cdot \cfrac{1}{x^{2+6}y^{10+3}}\implies \cfrac{1}{5x^8y^{13}}$

Answer 2

Find the attachment below