Question

Which property is illustrated by the following statement? (3z)xy=3(zy)y

•Associative property of multiplication

•Commutative property of multiplication

•Inverse property of multiplication

•Commutative property of addition

Answer 1

The property illustrated is the Associative property of multiplication

Answer 2

Associative property of multiplication

Explanation:

`(3z)xy=3(zx)y`

Associative property of multiplication is grouping of terms

`a(bc)= (ab)c`

Commutative property of multiplication is multiplying the terms in any order

`abc= acb`

Inverse property of multiplication states that the product of a term and its inverse is 1

the inverse of 'a' is
`(1)/(a)`

Commutative property of addition is adding the terms in any order

`a+b= b+a`

`(3z)xy=3(zx)y`

Here the group of terms in multiplication is changes. So it represents associative property of multiplication