Question

If x = -5 and y = -3, what is the value of the expression 2/3(x^3)(y^2)?

A) -100/3
B) -250/3
C) -500/3
D) -1000/3

Answer 1

After substituting x = -5 and y = -3 into the expression 2/3(x^3)(y^2) and simplifying, the result is -250/3, which is option B.

Step-by-step explanation:

To find the value of the expression 2/3(x^3)(y^2) with x = -5 and y = -3, we need to substitute the values of x and y into the expression and then simplify.

1. First, substitute the values of x and y into the expression: 2/3((-5)^3)(-3)^2
2. Calculate the exponentiations: 2/3(-125)(9)
3. Multiply the numbers together: 2/3(-1125)
4. Simplify the expression: 2/3 * -1125 = -750/3
5. Finally, divide -750 by 3 to get the result: -250/3

Therefore, the value of the expression 2/3(x^3)(y^2) when x = -5 and y = -3 is -250/3, which corresponds to option B.