Question

Divide the following and express your answer in appropriate scientific notation: (4.14 x 10^-6) ÷ (1.8 x 10^-49)

a. 2.3 x 10^43
b. 2.3 x 10^-43
c. 2.3 x 10^-43
d. 2.3 x 10^43

Answer 1

To divide (4.14 x 10^-6) by (1.8 x 10^-49), we divide the coefficients to get approximately 2.3 and subtract the exponents to get 43, resulting in a final answer of 2.3 x 10^43 in scientific notation.

Step-by-step explanation:

The given problem asks us to divide two numbers expressed in scientific notation: (4.14 x 10^-6) and (1.8 x 10^-49). To divide numbers in scientific notation, we divide the coefficients (4.14 / 1.8) and subtract the exponents of 10 (-6 - (-49)).

Firstly, perform the division of the coefficients:
4.14 / 1.8 ≈ 2.3

Then, subtract the exponents:
-6 - (-49) = -6 + 49 = 43

Combining these gives us the final answer in scientific notation:
2.3 x 10^43