Answer
$w \approx 2.969$
Work Step by Step
$4w^{7} - 8400 = -260$
$4w^{7} = -260 + 8400$
$4w^{7} = 8140$
$w^{7} = 2035$
$w = 2035^{\frac{1}{7}}$
$w = 2.969286...$
$w \approx 2.969$
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