True or false? The equation (x y)^2 is always equal to x^2 y^2.

Question

asked May 12, 2024 222k views

2 Answers

NHK · Answer 1 · 2024-05-14T17:21:24+0000

Hello!

Answer:

$\Large \boxed{\sf True}$

Explanation:

→ We want to find if the expression (xy)² is equal to x²y².

→ Let's simplify the expression:

→ We know that
$\sf (a * b)^n$ is equal to
$\sf a^nb^n$ .

In our expression:

$\sf a = x\\b = y\\n = 2$

→ So the expression is equal to:

$\sf x^2 y^2$

Conclusion:

The expression (xy)² is equal to x²y².

So the answer is true.