Simplify \(\frac{0.0324 \times 0.00064}{0.48 \times 0.012}\)
A
3.6 x 102
B
3.6 x 10-2
C
3.6 x 10-3
D
3.6 x 10-4
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{0.0324 \times 0.00064}{0.48 \times 0.012}\) = \(\frac{324 \times 10^{-4} \times 10^{-5}}{48 x 10^{-2} x 12 x 10^{-3}}\)
\(\frac{324 \times 64 \times 1 0^{-9}}{48 \times 12 \times 10^{-5}}\) = 36 x 10-4
= 3.6 x 10-3
Source: Myschool Past Questions Archive (Record #32019)