(24a^3c)÷(6a^2)

To simplify the expression \((24a^3c) \div (6a^2)\), you can follow these steps: 1. **Divide the coefficients**: \[ \frac{24}{6} = 4 \] 2. **Subtract the exponents of \(a\)** (using the property \(a^m \div a^n = a^{m-n}\)): \[ a^{3-2} = a^1 = a \] 3. The variable \(c\) remains unchanged since it's not in the denominator. Putting it all together, the simplified expression is: \[ 4ac \] So, \((24a^3c) \div (6a^2) = 4ac\).