Final answer:
To simplify the expression 24x²y/4xy⁴z⁰, cancel out the common factors in the numerator and denominator to get 6/x³y³z⁰. Since z⁰ equals 1, the simplified expression is 6/x³y³.
Step-by-step explanation:
To simplify the expression 24x²y/4xy⁴z⁰, we can cancel out the common factors in the numerator and denominator.
The common factors are x, y, and 4. Canceling these out, we are left with 6/x³y³z⁰. Since any number to the power of 0 is equal to 1, we can remove the z⁰ term.
Therefore, the simplified expression is 6/x³y³.