The problem shown in the image asks to add two numbers written in scientific notation:

$(6.49 \times 10^7) + (6.08 \times 10^7)$

Solution:

Since both numbers have the same exponent $10^7$, you can simply add the coefficients (the numbers in front of the powers of 10):

$6.49 + 6.08 = 12.57$

Now, combine this sum with the common exponent:

$12.57 \times 10^7$

Finally, to express this in proper scientific notation (with a coefficient between 1 and 10), rewrite it as:

$1.257 \times 10^8$

Final Answer:

The correct answer is $1.257 \times 10^8$.

Would you like more details on the steps or have any questions?

Here are 5 related questions to deepen your understanding:

1. How do you subtract numbers in scientific notation when they have different exponents?
2. How can you convert numbers from standard notation to scientific notation?
3. What are the rules for multiplying two numbers in scientific notation?
4. How do you divide numbers in scientific notation?
5. Why is it important to express numbers in scientific notation in the proper form?

Tip: When adding or subtracting numbers in scientific notation, always make sure the exponents are the same before combining the coefficients.