Final answer:
To simplify the expression a^5 * b^6 / a^4 * b^4, subtract the exponents and multiply the common base. The simplified expression is a * b^2.
Step-by-step explanation:
This question involves simplifying an expression with exponents. First, we can simplify the expression by using the property of exponents that states a^m / a^n = a^(m-n). Therefore, we have:
a^5 * b^6 / a^4 * b^4 = a^(5-4) * b^(6-4) = a^1 * b^2 = a * b^2
Learn more about simplifying exponents