Question
Evaluate the given algebraic expression for x = 3 and y = 3.
x^2y^2
12
81
36
18
x^2y^2
12
81
36
18
Answers
GPT-4o mini
To evaluate the expression \( x^2y^2 \) for \( x = 3 \) and \( y = 3 \), we start by substituting the values of \( x \) and \( y \) into the expression.
1. Substitute \( x = 3 \) and \( y = 3 \):
\[
x^2y^2 = (3)^2(3)^2
\]
2. Calculate \( (3)^2 \):
\[
(3)^2 = 9
\]
3. Now substitute back into the expression:
\[
x^2y^2 = 9 \times 9
\]
4. Calculate \( 9 \times 9 \):
\[
9 \times 9 = 81
\]
Thus, the value of \( x^2y^2 \) when \( x = 3 \) and \( y = 3 \) is \( \boxed{81} \).
1. Substitute \( x = 3 \) and \( y = 3 \):
\[
x^2y^2 = (3)^2(3)^2
\]
2. Calculate \( (3)^2 \):
\[
(3)^2 = 9
\]
3. Now substitute back into the expression:
\[
x^2y^2 = 9 \times 9
\]
4. Calculate \( 9 \times 9 \):
\[
9 \times 9 = 81
\]
Thus, the value of \( x^2y^2 \) when \( x = 3 \) and \( y = 3 \) is \( \boxed{81} \).