Step 1 :Given the division operation \(\frac{8.8 \times 10^{-6}}{4 \times 10^{-3}}\)
Step 2 :This is a division operation between two numbers in scientific notation. To solve this, we can divide the coefficients (8.8 and 4) and subtract the exponents (-6 and -3). The result will be in scientific notation, which we can then convert to decimal notation.
Step 3 :Divide the coefficients: \(\frac{8.8}{4} = 2.2\)
Step 4 :Subtract the exponents: \(-6 - (-3) = -3\)
Step 5 :So, the result in scientific notation is \(2.2 \times 10^{-3}\)
Step 6 :Convert this to decimal notation to get the final result: 0.0022
Step 7 :Final Answer: \(\boxed{0.0022}\)