Answer
$m = 3$
Work Step by Step
$\frac{2m^{5}+38}{16} = 32.75$
$2m^{5} + 38 = 524$
$2m^{5} = 524 - 38$
$2m^{5} = 486$
$m^{5} = 243$
$m = 243^{\frac{1}{5}}$
$m = 3$
Check:
$\frac{2m^{5}+38}{16} \overset{?}{=} 32.75$
$\frac{2(3)^{5}+38}{16} \overset{?}{=} 32.75$
$\frac{2(243)+38}{16} \overset{?}{=} 32.75$
$\frac{486+38}{16} \overset{?}{=} 32.75$
$\frac{524}{16} \overset{?}{=} 32.75$
$32.75 = 32.75$
