I see that you've uploaded a photo with mathematical expressions in scientific notation. Let's work through these:

1. 8.4 × 10¹⁰ ÷ 2 × 10⁶

Using the properties of exponents:

$\frac{8.4 \times 10^{10}}{2 \times 10^6} = \frac{8.4}{2} \times 10^{10-6} = 4.2 \times 10^4$

Answer: 4.2 × 10⁴

2. 9.6 × 10⁻⁸ ÷ 8 × 10⁻³

Again, applying the laws of exponents:

$\frac{9.6 \times 10^{-8}}{8 \times 10^{-3}} = \frac{9.6}{8} \times 10^{-8 - (-3)} = 1.2 \times 10^{-5}$

Answer: 1.2 × 10⁻⁵

3. 7.2 × 10⁷ ÷ 3 × 10²

We divide the coefficients and subtract the exponents:

$\frac{7.2 \times 10^7}{3 \times 10^2} = \frac{7.2}{3} \times 10^{7-2} = 2.4 \times 10^5$

Answer: 2.4 × 10⁵

4. 1.25 × 10⁻⁸ ÷ 2.5 × 10⁻²

Using similar steps:

$\frac{1.25 \times 10^{-8}}{2.5 \times 10^{-2}} = \frac{1.25}{2.5} \times 10^{-8 - (-2)} = 0.5 \times 10^{-6} = 5 \times 10^{-7}$

Answer: 5 × 10⁻⁷

5. 6 × 10⁶ ÷ 3 × 10⁴

Simplify the coefficients and exponents:

$\frac{6 \times 10^6}{3 \times 10^4} = \frac{6}{3} \times 10^{6-4} = 2 \times 10^2$

Answer: 2 × 10²

6. 1.5 × 10⁸ ÷ 5 × 10³

Applying the same principles:

$\frac{1.5 \times 10^8}{5 \times 10^3} = \frac{1.5}{5} \times 10^{8-3} = 0.3 \times 10^5 = 3 \times 10^4$

Answer: 3 × 10⁴

Would you like further details on any of these steps or have any other questions?

Here are some related questions you might find interesting:

1. How do you convert numbers from scientific notation to standard form?
2. What is the rule for multiplying numbers in scientific notation?
3. Can you give an example of dividing scientific notation with negative exponents?
4. How do you handle very small or very large numbers in scientific notation in real-world scenarios?
5. What happens if the exponent terms in a scientific notation division have the same value?

Tip: When working with scientific notation, always remember to separate the base numbers from the exponents and simplify them independently.