Respuesta :
Answer:
-720
Step-by-step explanation:
We are given the expression:
[tex]10x^3y^2[/tex]
and asked to evaluate when x= -2 and y= -3.
Therefore, we must substitute -2 for x and -3 for y.
[tex]10(-2)^3*(-3)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Evaluate the first exponent.
⇒ (-2)³ = -2 * -2 * -2= 4*-2= -8
[tex]10(-8)*(-3)^2[/tex]
Evaluate the second exponent.
⇒ (-3)²= -3 * -3= 9
[tex]10(-8)*9[/tex]
Multiply 10 and -8.
[tex]-80*9[/tex]
Multiply -80 and 9.
[tex]-720[/tex]
The value of 10x³y² at x= -2 and y= -3 is -720