Answer
$x = \pm3$
Work Step by Step
$4.5x^{6} - 2865 = 415.5$
$4.5x^{6} = 415.5 + 2865$
$4.5(x^{6}) = 3280.5$
$x^{6} = \frac{3280.5}{4.5}$
$x^{6} = 729$
$x = \pm729^{\frac{1}{6}}$
$x = \pm3$
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