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/ 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}`