Final answer:
The value of the expression 10x^3y^2 is -720 when x = -2 and y = -3.
Step-by-step explanation:
To find the value of the expression when x = -2 and y = -3, we substitute these values into the expression:
Step 1: Substitute the given values of x and y into the expression.
We are given that x = -2 and y = -3. Substituting these values into the expression 10x³y², we get:
10x³y² = 10(-2)³(-3)²
Step 2: Simplify the expression.
Using the order of operations, we can simplify the expression as follows:
10(-2)³(-3)² = 10(8)(9)
Step 3: Calculate the final result.
Multiplying 10, 8, and 9, we get:
10(8)(9) = 720
Therefore, the value of the expression 10x³y² when x = -2 and y = -3 is 720.