$$2h-16h^{4}\div2h^{-3}$$
$-6h$
$$2h-8h^{4}h^{-3}$$
$$2h-8h^{1}$$
$$2h-8h$$
$$-6h$$
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$-6$
$$\frac{\mathrm{d}}{\mathrm{d}h}(2h-8h^{4}h^{-3})$$
$$\frac{\mathrm{d}}{\mathrm{d}h}(2h-8h^{1})$$
$$\frac{\mathrm{d}}{\mathrm{d}h}(2h-8h)$$
$$\frac{\mathrm{d}}{\mathrm{d}h}(-6h)$$
$$-6h^{1-1}$$
$$-6h^{0}$$
$$-6$$