Evaluate the given algebraic expression for x = -2 and y = 3.

Question

x^3y

24
54
12
-24

Answer 1

To evaluate the expression \(x^3y\) for \(x = -2\) and \(y = 3\), we first substitute the values of \(x\) and \(y\) into the expression.

1. Calculate \(x^3\): \[ x^3 = (-2)^3 = -2 \times -2 \times -2 = -8 \]

2. Now substitute \(x^3\) and \(y\) into the expression: \[ x^3y = -8 \times 3 \]

3. Perform the multiplication: \[ -8 \times 3 = -24 \]

Thus, the value of the expression \(x^3y\) for \(x = -2\) and \(y = 3\) is \(\boxed{-24}\).