Question

Which is the value of this expression when x = negative 2 and y = negative 3?

10 x cubed y squared
Negative 720
Negative 360
360
720

Answer 1

To evaluate the expression \(10 x^3 y^2\) when \(x = -2\) and \(y = -3\), follow these steps:

1. Substitute \(x\) and \(y\) into the expression:
\[
10 (-2)^3 (-3)^2
\]

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

3. Calculate \((-3)^2\):
\[
(-3)^2 = 9
\]

4. Substitute these values back into the expression:
\[
10 \cdot (-8) \cdot 9
\]

5. Multiply:
\[
10 \cdot (-8) = -80
\]
Then,
\[
-80 \cdot 9 = -720
\]

Thus, the value of the expression when \(x = -2\) and \(y = -3\) is \(\boxed{-720}\).