(a)[1]
Arrange these numbers from the smallest to the largest: $2000$, $0.002$, $2\times10^{-4}$, $2\times10^{-2}$.
(b)[2]
Here standard form is used in a calculation: $a\times10^{-7}\div5\times10^b=4\times10^{-16}$. Determine the values of $a$ and $b$.