To solve the expression $(0.88 \times 10^{-3}) \times (6.3 \times 10^{-10})$, follow these steps:

1. Multiply the coefficients: $0.88 \times 6.3 = 5.544$.
2. Add the exponents: $-3 + (-10) = -13$.

So the expression simplifies to:

$5.544 \times 10^{-13}$

Would you like to know more details or have any questions?

Here are some related questions:

1. How do you multiply two numbers in scientific notation?
2. What is the significance of scientific notation in calculations?
3. How do you handle multiplication when exponents have the same base?
4. How do you convert between scientific notation and standard form?
5. What are the common errors to avoid when multiplying numbers in scientific notation?

Tip: When multiplying in scientific notation, always multiply the coefficients first, then add the exponents.