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Let's solve the given expression:

\[
(3.5 \times 10^7) + (2.4 \times 10^8)
\]

Since the terms have different powers of 10, we must adjust them so they have the same power of 10.

\[
3.5 \times 10^7 = 0.35 \times 10^8
\]

Now, the expression becomes:

\[
(0.35 \times 10^8) + (2.4 \times 10^8)
\]

We can factor out \( 10^8 \):

\[
(0.35 + 2.4) \times 10^8 = 2.75 \times 10^8
\]

So, the final answer in standard index form is:

\[
2.75 \times 10^8
\]

Let me know if you'd like more details or if you have any questions!

Here are some related questions:
1. What is the general process for adding numbers in scientific notation?
2. How do you convert between different powers of 10?
3. Can you subtract numbers in scientific notation using a similar method?
4. Why do we factor out powers of 10 when adding or subtracting in standard form?
5. How do you multiply or divide numbers in scientific notation?

**Tip:** When adding or subtracting numbers in scientific notation, always ensure that the powers of 10 are the same before performing the operation!

Work out (3.5 × 10^7) + (2.4 × 10^8). Give your answer in standard index form.

Learn how to add numbers in scientific notation such as (3.5 × 10^7) + (2.4 × 10^8). This step-by-step solution simplifies the expression by adjusting the powers of 10 and combining the terms. Ideal for students in Grades 9-12.

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