Final answer:
To simplify the expression |ab| when a>0 and b>0, we utilize the property that the absolute value of a positive number is the number itself. Thus, |ab| simplifies to just ab as both a and b are positive.
Step-by-step explanation:
To simplify the expression |ab| for each scenario where a > 0 and b > 0, we first need to understand what absolute value means.
The absolute value of a number is the non-negative value of that number without regard to its sign.
Since both a and b are given to be positive numbers, the product ab is also positive.
Therefore, the absolute value of a positive number is just the number itself.
That is, |ab| = ab when a > 0 and b > 0.
This simplification is based on the rule that for any positive number x, |x| = x.
So, applying this rule to our scenario, the expression simplifies directly to the product of a and b.