To compare the values \(4 \times 10^7\) and \(4 \times 10^3\), we can calculate how many times \(4 \times 10^3\) fits into \(4 \times 10^7\):
\[ \frac{4 \times 10^7}{4 \times 10^3} = \frac{4}{4} \times \frac{10^7}{10^3} = 1 \times 10^{7-3} = 10^4 \]
Therefore, \(4 \times 10^7\) is \(10^4\) times as much as \(4 \times 10^3\).
The correct answer is:
c. \(10^4\)