$$(5^{-7}\times6^{-5}\div3^{-5}\times10^{-5}\times5^{3})$$
$\frac{1}{2000000000}=5 \cdot 10^{-10}$
$$\frac{\frac{1}{78125}\times 6^{-5}}{3^{-5}}\times 10^{-5}\times 5^{3}$$
$$\frac{\frac{1}{78125}\times \frac{1}{7776}}{3^{-5}}\times 10^{-5}\times 5^{3}$$
$$\frac{\frac{1}{607500000}}{3^{-5}}\times 10^{-5}\times 5^{3}$$
$$\frac{\frac{1}{607500000}}{\frac{1}{243}}\times 10^{-5}\times 5^{3}$$
$$\frac{1}{607500000}\times 243\times 10^{-5}\times 5^{3}$$
$$\frac{1}{2500000}\times 10^{-5}\times 5^{3}$$
$$\frac{1}{2500000}\times \frac{1}{100000}\times 5^{3}$$
$$\frac{1}{250000000000}\times 5^{3}$$
$$\frac{1}{250000000000}\times 125$$
$$\frac{1}{2000000000}$$
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$\frac{1}{2 ^ {10} \cdot 5 ^ {9}} = 5 \times 10^{-10}$
