Let's simplify the given expression:

$(5 \times 10^4 \, \text{mt}) \times (22 \times 10^4 \, \text{mt})$

Step 1: Multiply the coefficients

$5 \times 22 = 110$

Step 2: Multiply the powers of 10

$10^4 \times 10^4 = 10^{(4+4)} = 10^8$

Step 3: Combine the results

$110 \times 10^8 \, \text{mt}^2$

Step 4: Convert to Scientific Notation

$1.1 \times 10^{10} \, \text{mt}^2$

Final Answer:

$\mathbf{1.1 \times 10^{10} \, \text{mt}^2}$

Would you like a breakdown of scientific notation?

Related Questions:

1. How do you multiply numbers in scientific notation?
2. Why do exponents add when multiplying powers of ten?
3. How do you express large numbers in proper scientific notation?
4. What are real-world applications of multiplying large numbers in scientific notation?
5. How does this calculation relate to measuring large areas?

Tip:

When multiplying numbers in scientific notation, always separate the coefficients and the powers of 10 to simplify calculations efficiently.