1. Start with the expression: \frac{15ab^4c}{3ab^2}
2. Divide the coefficients: \frac{15}{3} = 5
3. Divide the variables:
- For a : a^1 \div a^1 = a^{1-1} = a^0 = 1
- For b : b^4 \div b^2 = b^{4-2} = b^2
- For c : remains as c since it's only in the numerator.
4. Combine the results: 5b^2c
5. The simplified expression is 5b^2c
Answer: 5b^2c