Question

What property is illustrated by (2x)y = (2y)x?

Answer 1

Commutative property

Explanation:

In the Commutative property,the sequence or the order of factors of product does not change the value of the product.

Example:

in

12*5 = 5*12

also 12 = 3*4

(3*4)5 = (3*5)4

_____________________________

given

(2x)y = (2y)x

here it can be written as

(2*x)*y = (2*y)*x

removing the bracket for LHS we have

2*x*y ,

applying Commutative property and changing order of x and y

2*x*y = 2*y*x

now again putting the bracket after first two terms

(2x)y = (2y)x

Thus, the expression illustrates Commutative property.