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

  • jdoe0001: [tex]\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^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}} \\\\ -------------------------------[/tex]

    [tex]\bf \cfrac{x^{\frac{5}{8}}}{x^{\frac{1}{8}}}\implies x^{\frac{5}{8}}\cdot x^{-\frac{1}{8}}\implies x^{\frac{5}{8}-\frac{1}{8}}\implies x^{\frac{4}{8}}\implies x^{\frac{1}{2}}\implies \sqrt[2]{x^1}\implies \sqrt{x}[/tex]
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