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The problem given is:

\[
\text{Calculate the value of } \frac{1.4 \times 10^9}{2 \times 10^3}.
\]

We will solve this step-by-step and give the answer in standard form.

### Step 1: Separate the numbers and the powers of ten
Rewrite the expression as:
\[
\frac{1.4}{2} \times \frac{10^9}{10^3}
\]

### Step 2: Simplify each part
Calculate the fraction:
\[
\frac{1.4}{2} = 0.7
\]

For the powers of ten, apply the exponent rule \(\frac{10^a}{10^b} = 10^{a-b}\):
\[
\frac{10^9}{10^3} = 10^{9-3} = 10^6
\]

### Step 3: Combine the simplified parts
\[
0.7 \times 10^6
\]

### Step 4: Express in standard form
To convert \(0.7 \times 10^6\) to standard form, express it as \(7 \times 10^5\).

### Final Answer
\[
7 \times 10^5
\]

This is the answer in standard form.

Would you like a detailed explanation of any step or have any questions?

Here are some related questions to deepen your understanding:
1. What are the rules for multiplying and dividing powers of ten?
2. How do you convert a number to its standard form?
3. What is the significance of using standard form in scientific calculations?
4. How would you approach a problem involving larger powers of ten, like \(10^{15}\)?
5. How does changing the base number (e.g., 1.4 to 3.6) affect the standard form conversion?

**Tip:** When working with powers of ten, remember that dividing two numbers with the same base means subtracting their exponents.

Calculate the value of \( \frac{1.4 \times 10^9}{2 \times 10^3} \). Give your answer in standard form.

Learn how to calculate the value of \( \frac{1.4 \times 10^9}{2 \times 10^3} \) and express it in standard form. This problem covers key mathematical concepts like scientific notation, division of powers of ten, and exponent rules. Suitable for students in Grades 8-10.

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