Question

Write 2y^-2/7 in radical form

Answer 1

`\bf a^{( n)/( m)} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{( n)/( m)} \\\\\\ a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \qquad\qquad % radical denominator \cfrac{1}{\sqrt[ m]{a^ n}}= \cfrac{1}{a^{( n)/( m)}}\implies a^{-( n)/( m)} \\\\ -------------------------------\\\\ 2y^{-(2)/(7)}\implies 2\cdot \cfrac{1}{y^{(2)/(7)}}\implies 2\cdot \cfrac{1}{\sqrt[7]{y^2}}\implies \cfrac{2}{\sqrt[7]{y^2}}`