To calculate: The solution of the expression, (-5)(-17)(2)(-2)(4).

Given:
The expression is (-5)(-17)(2)(-2)(4).
Calculation:
The given expression is,
(-5)(-17)(2)(-2)(4)
Here, the numbers have the different signs. Solve the above expression step by step using the property of order of operations.
Start from the right side of the equation. Multiply the two terms at the extreme right of the given expression.
Multiply two numbers with different signs by taking the product of their absolute values. The resultant absolute value is the product of the two numbers. The product will have a negative sign.
The absolute value of 4 is,
|4|=4
The absolute value of -2 is,
|-2| =2
Calculate the product:
(4)(-2)=-8
Multiply the above result with the third term from the right of the expression.
Multiply two numbers with different signs by taking the product of their absolute values. The resultant absolute value is the product of the two numbers. The product will have a negative sign.
The absolute value of -8 is,
|-8| =8
The absolute value of 2 is,
|2|=2
Calculate the product:
(-8)(2) = -16
Multiply the above result with the fourth term from the right of the expression.
Multiply two numbers with the same sign by taking the product of their absolute values. The resultant absolute value is the product of the two numbers. The product will have a positive sign.
The absolute value of -16 is,
|-16| = 16
The absolute value of -17 is,
|-17| =17
Calculate the product:
(-16)(-17) = 272
Multiply the above result with the remaining term of the expression.
Multiply two numbers with different signs by taking the product of their absolute values. The resultant absolute value is the product of the two numbers. The product will have a negative sign.
The absolute value of 272 is,
|272| = 272
The absolute value of —5 is,
|-5| =5
Calculate the product:
(272)(-5)=-1360
Therefore, (-5)(-17)(2)(-2)(4) =-1360.