Question

Which of the following simplify to the same expression? Select all that apply. A) (x²y)² B) (2³)²y C) (x³)²(y²)⁴ D) (x³y¹)² E) z⁰(y¹)²

Answer 1

The expressions A) (x²y)², B) (2³)²y, and D) (x³y¹)² simplify to the same expression x^4·y^2.

Step-by-step explanation:

Out of the given options, the expressions A) (x²y)², B) (2³)²y, and D) (x³y¹)² simplify to the same expression.

Let's simplify each expression to see:

A) (x²y)² = x²·y·x²·y = x^(2+2)·y^(1+1) = x^4·y^2

B) (2³)²y = 2^3·2^3·y = 2^(3+3)·y = 2^6·y

D) (x³y¹)² = x³·y·x³·y = x^(3+3)·y^(1+1) = x^6·y^2

So, options A), B), and D) all simplify to the expression x^4·y^2.