Answer
$$2.66\times 10^{24}.$$
Work Step by Step
We have
$$\left(\frac{ 18.4\times 2100 }{0.036\times 950 }\right)^8=\left(\frac{ (1.84\times10) (2.1 \times10^3)}{(3.6\times10^{-2}) (9.5\times10^2)}\right)^8\\=\left(\frac{ 3.864\times 10^4}{3.42\times10}\right)^8 =(1.129\times10^3)^8\\ =2.66\times 10^{24}.$$
