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The question asks for the degree of the quotient of two monomials:

\[
\frac{2^4x^4y^3z^5}{(-2)^3x^3y^2}
\]

### Step-by-Step Solution:

1. **Simplify the coefficients:**

   \[
   \frac{2^4}{(-2)^3} = \frac{16}{-8} = -2
   \]

2. **Simplify the variables:**

   - For \(x\): \( \frac{x^4}{x^3} = x^{4-3} = x^1 \)
   - For \(y\): \( \frac{y^3}{y^2} = y^{3-2} = y^1 \)
   - For \(z\): There is no \(z\) in the denominator, so it remains \(z^5\).

   The simplified expression becomes:

   \[
   -2x^1y^1z^5 = -2xyz^5
   \]

3. **Degree of the resulting monomial:**

   The degree of a monomial is the sum of the exponents of the variables:
   
   \[
   \text{Degree} = 1 (from x) + 1 (from y) + 5 (from z) = 7
   \]

Thus, the degree of the quotient is **7**.

### Answer: The correct option is 7.

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Do you need further details or have any questions?

### Related Questions:
1. How do you find the degree of a polynomial with multiple terms?
2. What are the rules for simplifying monomials with negative exponents?
3. How do you perform division when dealing with variables that have fractional exponents?
4. What is the importance of the degree of a polynomial in mathematical analysis?
5. Can you explain how to handle division of monomials with more complex coefficients?

### Tip:
Always subtract the exponents of the variables when dividing monomials with the same base.

Find the degree of the quotient of the monomials 2^4 * x^4 * y^3 * z^5 divided by (-2)^3 * x^3 * y^2.

Learn how to simplify the quotient of two monomials and find the degree. This problem focuses on applying the laws of exponents, dividing variables, and summing exponents. Suitable for students in Grades 8-10.

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