
Multiply  (9.7×1010) • (4×10-14)

and write answer in scientific notation.

Let's multiply the two numbers and express the result in scientific notation.

Given expression:  
\[
(9.7 \times 10^{10}) \times (4 \times 10^{-14})
\]

First, multiply the coefficients:
\[
9.7 \times 4 = 38.8
\]

Next, multiply the powers of 10:
\[
10^{10} \times 10^{-14} = 10^{10 + (-14)} = 10^{-4}
\]

So, the product is:
\[
38.8 \times 10^{-4}
\]

To express this in proper scientific notation, we need to adjust it to:
\[
3.88 \times 10^{-3}
\]

Thus, the answer is:
\[
\boxed{3.88 \times 10^{-3}}
\]

Would you like any further details or explanations?

Here are five related questions:
1. How do you handle multiplying numbers when one exponent is negative in scientific notation?
2. What is the process of converting a number like 38.8 to scientific notation?
3. What would be the result of \((5.2 \times 10^5) \times (3 \times 10^{-3})\)?
4. How do you divide numbers in scientific notation?
5. Why is it important to write answers in proper scientific notation form?

**Tip:** Always ensure that the coefficient in scientific notation is between 1 and 10 by adjusting the exponent accordingly.

Learn how to multiply numbers in scientific notation (9.7×10^10) • (4×10^-14) and express the result correctly. This problem involves understanding scientific notation and multiplication rules for exponents. Suitable for high school students (Grades 9-12).

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