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The given expression simplifies to:

\[
\frac{1}{192 h^2 q^{10}}
\]

This is the fraction in its simplest form with only positive exponents.

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How do you simplify expressions with negative exponents?
2. How do exponent rules apply when multiplying variables with exponents?
3. What steps can be taken to simplify fractions with variables in both the numerator and denominator?
4. Can you apply the distributive property to expressions involving exponents?
5. How do coefficients affect simplification when combined with variables?

**Tip**: When simplifying expressions with exponents, always group like bases and carefully apply exponent rules, especially with negative exponents!

Express the following fraction in simplest form, only using positive exponents: (4qh^(-3))^(-2) / (12q^8h^8)

This problem explores how to simplify fractions that contain negative exponents. It uses key exponent rules such as a^(-n) = 1/a^n and (ab)^n = a^n * b^n. Suitable for students in Grades 9-12.

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