Answer
$\{5\times10^{-3},7\times10^{-1},3\times10^{0},2\times10^4\}$
Work Step by Step
To order numbers in scientific notation, we first must write each number in scientific notation.
$\{5\times10^{-3},2\times10^4,3\times10^{0},7\times10^{-1}\}$
Then, we order the numbers first by their powers of $10$. For numbers with the same power of $10$, we arrange them by their decimal parts.
$\{5\times10^{-3},7\times10^{-1},3\times10^{0},2\times10^4\}$