The given expression is (-10/3)*(-15/2)*(17/19)*0. As the last factor is 0, the entire expression evaluates to 0.


To understand why the expression evaluates to 0, we need to look at the properties of multiplication and the number 0.


When we multiply two numbers with the same sign, we get a positive result. For example:
- 3*4 = 12 (both numbers are positive)
- (-3)*(-4) = 12 (both numbers are negative)

When we multiply two numbers with opposite signs, we get a negative result. For example:
- 3*(-4) = -12 (one number is positive and the other is negative)


The number 0 is a special number in mathematics. When we multiply any number by 0, the result is always 0. For example:
- 3*0 = 0
- (-4)*0 = 0


In the given expression, we have four factors:
- (-10/3)
- (-15/2)
- (17/19)
- 0

The first three factors are all fractions, but they have different signs. Therefore, their product will be negative. However, the last factor is 0, and any number multiplied by 0 is 0. Therefore, the entire expression evaluates to 0.