Question

Simplify the following expression as a monomial X^2y÷yx^2

Answer 1

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2\div yx^2\implies \cfrac{x^2}{yx^2}\implies \cfrac{x^2\cdot x^{-2}}{y}\implies \cfrac{x^{2-2}}{y}\implies \cfrac{x^0}{y}\implies \cfrac{1}{y}$