Question

How do i simplify this?

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}}}}\\\\ -------------------------------\\\\`


`\bf \cfrac{(xy^(-3))^(-5)}{(x^(-3)y)^(-6)}\impliedby \textit{first off, distribute the exponent} \\\\\\ \cfrac{x^(1\cdot -5)y^(-3\cdot -5)}{x^(-3\cdot -6)y^(1\cdot -6)}\implies \cfrac{x^(-5)y^(15)}{x^(18)y^(-6)}\implies \cfrac{y^(15)\cdot y^6}{x^(18)\cdot x^5}\implies \cfrac{y^(15+6)}{x^(18+5)}\implies \cfrac{y^(21)}{x^(23)}`