Question

Simplify x to the 5/8 over x to the 1/8

Answer 1

`\bf ~~~~~~~~~~~~\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)} \\\\\\ \textit{}a^{( n)/( m)} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{( n)/( m)} \\\\ -------------------------------`


`\bf \cfrac{x^{(5)/(8)}}{x^{(1)/(8)}}\implies x^{(5)/(8)}\cdot x^{-(1)/(8)}\implies x^{(5)/(8)-(1)/(8)}\implies x^{(4)/(8)}\implies x^{(1)/(2)}\implies \sqrt[2]{x^1}\implies √(x)`