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

Question

x^2y^2

18
12
81
36

Answer 1

To evaluate the expression \( x^2y^2 \) for \( x = 3 \) and \( y = 3 \), we can follow these steps:

1. Substitute the values of \( x \) and \( y \) into the expression:

   \[ x^2y^2 = (3^2)(3^2) \]

2. Calculate \( 3^2 \):

   \[ 3^2 = 9 \]

3. Substitute \( 9 \) back into the expression:

   \[ (3^2)(3^2) = 9 \times 9 \]

4. Calculate \( 9 \times 9 \):

   \[ 9 \times 9 = 81 \]

Therefore, the value of the expression \( x^2y^2 \) at \( x = 3 \) and \( y = 3 \) is \( \boxed{81} \).