To solve the expression $(8 \times 10^{-3}) \times (2 \times 10^6)$, we can break it into two parts:

1. Multiply the constants: $8 \times 2 = 16$

2. Multiply the powers of 10: $10^{-3} \times 10^6 = 10^{-3 + 6} = 10^3$

Now, putting everything together: $(8 \times 10^{-3}) \times (2 \times 10^6) = 16 \times 10^3$

This is the same as: $16,000 \quad \text{or} \quad 1.6 \times 10^4$

So, the final result is 16,000 or $1.6 \times 10^4$.

Would you like more details or have any other questions on this?

Related Questions:

1. How do you handle multiplying powers of 10 with different exponents?
2. What is scientific notation, and why is it useful?
3. Can we simplify expressions like $(3 \times 10^5) \times (5 \times 10^{-2})$?
4. How does scientific notation help in calculating very large or very small numbers quickly?
5. What would happen if we multiplied $8 \times 10^{-3}$ by a negative number?

Tip: When multiplying numbers in scientific notation, always multiply the coefficients first and then add the exponents of the powers of 10.