Final answer:
To solve the expression 5.16 x 10^(-4) ÷ 8.65 x 10^(-8) + 9.68 x 10^4, divide the coefficients and subtract the exponents in the division, then add the obtained value to the third term, and rewrite in scientific notation to get the final answer.
Step-by-step explanation:
To solve the expression 5.16 x 10^(-4) ÷ 8.65 x 10^(-8) + 9.68 x 10^4, we will perform the calculations in the following steps:
- First, we will evaluate the division 5.16 x 10^(-4) ÷ 8.65 x 10^(-8). Dividing the coefficients gives us 5.16 ÷ 8.65 = 0.596. We then subtract the exponents: 10^(-4) ÷ 10^(-8) = 10^(-4 - (-8)) = 10^4, resulting in 0.596 x 10^4.
- Next, we add the value obtained in the previous step (0.596 x 10^4) to 9.68 x 10^4. Adding these two values gives us 0.596 x 10^4 + 9.68 x 10^4 = 10.276 x 10^4.
- Finally, we rewrite 10.276 x 10^4 in scientific notation by combining the coefficients: 10.276 x 10^4 = 1.0276 x 10^(4 + 1) = 1.0276 x 10^5.
Therefore, the answer is option A) 9.68 x 10^4.