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To solve the given expression:

\[
(4 \times 10^3) \times (2 \times 10^{-10})
\]

we can follow these steps:

1. Multiply the constants:  
   \( 4 \times 2 = 8 \).

2. Use the property of exponents that states:  
   \( 10^a \times 10^b = 10^{a+b} \),  
   so:  
   \( 10^3 \times 10^{-10} = 10^{3 + (-10)} = 10^{-7} \).

Thus, the answer is:

\[
8 \times 10^{-7}
\]

This is the product in scientific notation: \( 8 \times 10^{-7} \).

Would you like further explanation or have any questions?

Here are 5 related questions for practice:
1. How do you multiply two numbers in scientific notation with different exponents?
2. What is the rule for adding exponents when multiplying powers of 10?
3. How would you divide numbers in scientific notation?
4. If you multiply \( 3 \times 10^5 \) by \( 7 \times 10^{-3} \), what would the result be?
5. Can you convert \( 5 \times 10^2 \times 4 \times 10^4 \) to standard form?

**Tip:** When multiplying or dividing in scientific notation, always handle the coefficients and exponents separately.

Multiply. Write your answer in scientific notation: (4 × 10^3) × (2 × 10^-10)

Learn how to multiply numbers in scientific notation with this example: (4 × 10^3) × (2 × 10^-10). This problem covers exponent rules and the multiplication of powers, suitable for students in Grades 9-10.

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