carabirchfield carabirchfield
  • 20-11-2019
  • Mathematics
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Convert the rational expression to radical form m^2/3

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jdoe0001 jdoe0001
  • 20-11-2019

[tex]\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ m^{\frac{2}{3}}\implies \sqrt[3]{m^2}[/tex]

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