Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)
A
4.0 x 10-11
B
5.0 x 10-2
C
2.0 x 10-1
D
5.0 x 10-3
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\) = \(\frac{1.25 \times 2}{6.25}\) x 10\(^{-4 - 1 - 5}\)
\(\frac{2.50}{6.25}\) x 10\(^{-10}\) = \(\frac{250}{625}\) x 10\(^{-10}\)
0.4 x 10\(^{-10}\) = 4.0 x 10\(^{-11}\)
Source: Myschool Past Questions Archive (Record #31295)