$$\sqrt[ \frac{ 6 }{ \frac{ 3 }{ \frac{ 4 }{ 9 } } } ]{ 6 }$$
$6^{\frac{9}{8}}\approx 7.506200429$
$$\sqrt[\frac{6\times \frac{4}{9}}{3}]{6}$$
$$\sqrt[\frac{\frac{8}{3}}{3}]{6}$$
$$\sqrt[\frac{8}{3\times 3}]{6}$$
$$\sqrt[\frac{8}{9}]{6}$$
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