$$4^{0}5^{-1}6^{-1}100^{0\frac{1}{2^{1}}}$$
$\frac{1}{30}\approx 0.033333333$
$$1\times 5^{-1}\times 6^{-1}\times 100^{0\times \frac{1}{2^{1}}}$$
$$1\times \frac{1}{5}\times 6^{-1}\times 100^{0\times \frac{1}{2^{1}}}$$
$$\frac{1}{5}\times 6^{-1}\times 100^{0\times \frac{1}{2^{1}}}$$
$$\frac{1}{5}\times \frac{1}{6}\times 100^{0\times \frac{1}{2^{1}}}$$
$$\frac{1}{30}\times 100^{0\times \frac{1}{2^{1}}}$$
$$\frac{1}{30}\times 100^{0\times \frac{1}{2}}$$
$$\frac{1}{30}\times 100^{0}$$
$$\frac{1}{30}\times 1$$
$$\frac{1}{30}$$
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$\frac{1}{2 \cdot 3 \cdot 5} = 0.03333333333333333$
