Final answer:
To divide 7.956 x 10^-6 by 2.55 x 10^-3, you divide the coefficients, resulting in approximately 3.12078431373, and subtract the exponents, which gives us -3. Therefore, the simplified result is approximately 3.121 x 10^-3.
Step-by-step explanation:
To divide 7.956 x 10^-6 by 2.55 x 10^-3, we need to divide the coefficients (7.956/2.55) and subtract the exponents of 10 (-6 - (-3)).
First, calculate the division of the coefficients:
- 7.956 / 2.55 ≈ 3.12078431373
Now we handle the exponents:
So the result becomes:
To simplify, we can round the coefficient: