Final answer:
The expression 18a³b²/ 2ab simplifies to 9a²b by dividing the coefficients and subtracting the exponents of like bases.
Step-by-step explanation:
To multiply or divide expressions with exponents, we follow certain rules. When dividing, we subtract the exponents of like bases. Here we are given the expression 18a³b²/ 2ab and are asked to simplify it.
To multiply or divide the given expressions, 18a³b² and 2ab, we need to simplify the common factors and subtract the exponents or divide the coefficients.
In this case, the common factors are 18, a, and b.
So, the simplified expression is 9a².
First, divide the coefficients: 18 divided by 2 is 9.
Next, subtract the exponents of 'a': a³ divided by a is a² (because 3 - 1 = 2).
Do the same for 'b': b² divided by b is b (because 2 - 1 = 1).
Bringing it all together, we get 9a²b as the simplified expression.