Question

Need help quick with this problem!!!
`\frac{6x^(-1) y^(-1)}{\sqrt[4]{xy^(4)} }`

Answer 1

`~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hfill \begin{array}{llll} \textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} \end{array} \\\\[-0.35em] ~\dotfill`

`\cfrac{6x^(-1)y^(-1)}{\sqrt[4]{xy^4}}\implies \cfrac{6}{x^1 y^1 \left( xy^4 \right)^{(1)/(4)}}\implies \cfrac{6}{x^1 y^1 \left( x^{(1)/(4)}y^1 \right)}\implies \cfrac{6}{x^1x^{(1)/(4)} y^1 y^1} \\\\\\ \cfrac{6}{x^{1+(1)/(4)} y^(1+1)}\implies \cfrac{6}{x^{(5)/(4)} y^2}\implies {\Large \begin{array}{llll} \stackrel{a\quad b \quad ~~ c}{6x^{-(5)/(4)}y^(-2)} \end{array}}`