Question

Use the Commutative Property of Multiplication to rewrite the algebraic expression: x^10⋅y^20

Answer 1

can you break it down simpler

Answer 2

To rewrite the expression \( x^{10} \cdot y^{20} \) using the Commutative Property of Multiplication, you can simply change the order of the factors. The Commutative Property states that changing the order of multiplication does not change the product.

Therefore, you can rewrite the expression as:

\[
y^{20} \cdot x^{10}
\]

Both \( x^{10} \cdot y^{20} \) and \( y^{20} \cdot x^{10} \) are equivalent.

Answer 3

Sure! Let's break it down step by step.

1. **Understanding the Expression**: The expression you're working with is \( x^{10} \cdot y^{20} \). This means you have \( x \) multiplied by itself 10 times and \( y \) multiplied by itself 20 times.

2. **Commutative Property of Multiplication**: This property tells us that it doesn’t matter in which order we multiply numbers. For example, \( 2 \cdot 3 = 3 \cdot 2 \).

3. **Applying the Property**: Using this property, you can switch the order of the multiplication in the expression:
- The original: \( x^{10} \cdot y^{20} \)
- After switching: \( y^{20} \cdot x^{10} \)

4. **Final Expression**: So, the expression \( x^{10} \cdot y^{20} \) can be rewritten as \( y^{20} \cdot x^{10} \).

Both forms of the expression are the same, just written in a different order!