The expression in the image is:

$(5 \times 10^6) \times (8 \times 10^{-3})$

To solve this, we can use the properties of exponents and multiplication.

1. Multiply the coefficients (5 and 8):

$5 \times 8 = 40$

2. Multiply the powers of 10:

$10^6 \times 10^{-3} = 10^{6 + (-3)} = 10^3$

Now, combine the results:

$40 \times 10^3$

This can also be written as:

$4.0 \times 10^4$

So, the final answer is:

$4.0 \times 10^4$

Would you like more details, or do you have any other questions?

Here are 5 related questions for further practice:

1. How would you solve $(2 \times 10^4) \times (3 \times 10^{-2})$?
2. What is the result of dividing $(7 \times 10^5)$ by $(2 \times 10^{-1})$?
3. How do you add two numbers in scientific notation, like $(5 \times 10^2) + (3 \times 10^3)$?
4. What is the general rule for multiplying powers of ten?
5. How would you express $0.004$ in scientific notation?

Tip: When multiplying numbers in scientific notation, always handle the coefficients and powers of 10 separately, then combine them at the end.