The image contains a question asking which equation is true. Each option includes scientific notation, and we will verify each one to determine the correct answer.

Let's evaluate each option:

Option 1:

$(3.4 \times 10^4) \div (1.5 \times 10^6) = 5.1 \times 10^2$ Performing the division: $\frac{3.4 \times 10^4}{1.5 \times 10^6} = \frac{3.4}{1.5} \times 10^{4-6} = 2.27 \times 10^{-2}$ Clearly, $2.27 \times 10^{-2} \neq 5.1 \times 10^2$.

Option 2:

$(5.8 \times 10^5)(2 \times 10^3) = 2.9 \times 10^8$ Performing the multiplication: $(5.8 \times 10^5) \times (2 \times 10^3) = (5.8 \times 2) \times 10^{5+3} = 11.6 \times 10^8 = 1.16 \times 10^9$ Clearly, $1.16 \times 10^9 \neq 2.9 \times 10^8$.

Option 3:

$(3.6 \times 10^7) \div (1.2 \times 10^2) = 3 \times 10^5$ Performing the division: $\frac{3.6 \times 10^7}{1.2 \times 10^2} = \frac{3.6}{1.2} \times 10^{7-2} = 3 \times 10^5$ This equation is correct.

Option 4:

$(2.4 \times 10^5)(3 \times 10^{-3}) = 7.2 \times 10^2$ Performing the multiplication: $(2.4 \times 10^5) \times (3 \times 10^{-3}) = (2.4 \times 3) \times 10^{5-3} = 7.2 \times 10^2$ This equation is also correct.

Conclusion:

Both Option 3 and Option 4 are correct. However, typically only one answer is marked as correct in such questions, so it may depend on further context. But based on the math, both satisfy their equations.

Would you like more details or have any questions?

5 Related Questions:

1. How do you simplify calculations in scientific notation?
2. What are the rules for multiplying powers of 10?
3. How can you estimate scientific notation calculations quickly?
4. How do division rules in scientific notation differ from multiplication?
5. What is the purpose of using scientific notation in real-world problems?

Tip: When performing operations in scientific notation, always separate the constants and the powers of 10 for clarity.