Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent positive real numbers. See Examples 8 and 9. (z^3/4)/(z^5/4)(z^-2)

Understanding exponent rules is crucial for simplifying expressions involving powers. Key rules include the product of powers (a^m * a^n = a^(m+n)), the quotient of powers (a^m / a^n = a^(m-n)), and the power of a power (a^m)^n = a^(m*n). These rules allow for the manipulation of exponents to simplify complex expressions effectively.

Negative exponents indicate the reciprocal of the base raised to the opposite positive exponent. For example, a^-n = 1/a^n. In the context of simplification, it is important to rewrite any negative exponents as positive to meet the problem's requirement of expressing answers without negative exponents, ensuring clarity and correctness in the final expression.

Simplifying rational expressions involves reducing fractions to their simplest form by canceling common factors in the numerator and denominator. This process often requires applying the rules of exponents and ensuring that all variables are treated as positive real numbers, which helps maintain the integrity of the expression throughout the simplification process.