$$y:(3^{-7}\div3^{-9})\times3^{-4}$$
$\frac{y}{729}$
$$\frac{y}{3^{2}}\times 3^{-4}$$
$$\frac{y}{9}\times 3^{-4}$$
$$\frac{y}{9}\times \frac{1}{81}$$
$$\frac{y}{9\times 81}$$
$$\frac{y}{729}$$
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$\frac{1}{729} = 0.0013717421124828531$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y}{3^{2}}\times 3^{-4})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y}{9}\times 3^{-4})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y}{9}\times \frac{1}{81})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y}{9\times 81})$$
$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y}{729})$$
$$\frac{1}{729}y^{1-1}$$
$$\frac{1}{729}y^{0}$$
$$\frac{1}{729}\times 1$$
$$\frac{1}{729}$$