# How do you solve 5(x-8)^(3/4)=70?

$\frac{\cancel{5} {\left(x - 8\right)}^{\frac{3}{4}}}{\cancel{5}} = \frac{70}{5} = 14$
x - 8 = 14^(4/3
$x = {14}^{\frac{4}{3}} + 8 = 8 + 14 \sqrt[14]{14}$