\dfrac{-8 \cdot 10^{7}}{-4 \cdot 10^{6}} =

To solve the expression \(\dfrac{-8 \cdot 10^{7}}{-4 \cdot 10^{6}}\), we can break it down into two parts: the coefficients and the powers of 10.

1. **Divide the coefficients:**

   \[
   \dfrac{-8}{-4} = 2
   \]

2. **Divide the powers of 10:**

   \[
   \dfrac{10^7}{10^6} = 10^{7-6} = 10^1 = 10
   \]

So, the overall expression simplifies to:

\[
2 \times 10 = 20
\]

Thus, \(\dfrac{-8 \cdot 10^{7}}{-4 \cdot 10^{6}} = 20\).

Would you like more details or have any questions? Here are some related questions:

1. How do you simplify expressions involving negative exponents?
2. What is the general rule for multiplying and dividing powers of 10?
3. How would the answer change if the exponents were different?
4. What happens when the coefficient is zero in similar expressions?
5. Can you explain the properties of exponents with examples?

**Tip:** When dividing numbers in scientific notation, always handle the coefficients and powers of 10 separately for simplicity.

Learn how to simplify the expression \dfrac{-8 \cdot 10^{7}}{-4 \cdot 10^{6}} using scientific notation and exponent rules. This problem involves key concepts in scientific notation, exponentiation, and division. Suitable for students in Grades 8-10.

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