Final answer:
To divide 15a³b²c by 5abc, you cancel out common terms and reduce the exponents, resulting in the simplified form 3a²b.
Step-by-step explanation:
To divide 15a³b²c by 5abc, you simplify the expression by canceling out the common terms and reducing the exponents accordingly.
Dividing the numerical coefficients: 15 divided by 5 equals 3.
Now, divide the variable terms: a³ divided by a is a² (subtract the exponents), b² divided by b is b (subtract the exponents), and c divided by c is 1 (identical terms cancel each other out).
Therefore, the simplified form of the expression is 3a²b.