Rationale machten

Werk uit m.b.v. de rekenregels

\(\sqrt[8]{ (\frac{169}{361})^{4} }\)

\(\sqrt[8]{ (\frac{169}{361})^{4} }\\= (\frac{169}{361})^{\frac{-4}{8}}\\= (\frac{169}{361})^{\frac{-1}{2}}\\= \sqrt{ \frac{361}{169} } =\frac{19}{13}\)