Question
Evaluate the given algebraic expression for x = 3 and y = 3.
x^2y^2
18
12
81
36
x^2y^2
18
12
81
36
Answers
GPT-4o mini
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 \( \boxed{81} \).
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 \( \boxed{81} \).