$$( ( c ) ) \frac { 3 ^ { 5 } \times 10 ^ { 5 } \times 25 } { 5 ^ { 7 } \times 6 ^ { 5 } }$$
$c$
$$c\times \frac{243\times 10^{5}\times 25}{5^{7}\times 6^{5}}$$
$$c\times \frac{243\times 100000\times 25}{5^{7}\times 6^{5}}$$
$$c\times \frac{24300000\times 25}{5^{7}\times 6^{5}}$$
$$c\times \frac{607500000}{5^{7}\times 6^{5}}$$
$$c\times \frac{607500000}{78125\times 6^{5}}$$
$$c\times \frac{607500000}{78125\times 7776}$$
$$c\times \frac{607500000}{607500000}$$
$$c\times 1$$
$$c$$
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$1$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{243\times 10^{5}\times 25}{5^{7}\times 6^{5}})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{243\times 100000\times 25}{5^{7}\times 6^{5}})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{24300000\times 25}{5^{7}\times 6^{5}})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{607500000}{5^{7}\times 6^{5}})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{607500000}{78125\times 6^{5}})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{607500000}{78125\times 7776})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times \frac{607500000}{607500000})$$
$$\frac{\mathrm{d}}{\mathrm{d}c}(c\times 1)$$
$$c^{1-1}$$
$$c^{0}$$
$$1$$
