(2x)yz=2(xy)z property statement

Associate property statement of Muliplcation

Communcation property of mutlipcation

Inverse property of inverse of multiplcation

1 answer

The property statement you provided, "(2x)yz=2(xy)z," is an example of the associative property of multiplication as it shows that the grouping of the factors does not affect the result.

The associative property of multiplication states that for any real numbers a, b, and c, the product will be the same regardless of how you group the factors, i.e., (ab)c = a(bc).

The commutative property of multiplication states that for any real numbers a and b, the product will be the same regardless of the order of the factors, i.e., ab = ba.

The inverse property of multiplication states that for any nonzero real number a, there exists a reciprocal or inverse denoted as 1/a, such that the product of a and its reciprocal is equal to 1, i.e., a(1/a) = 1.
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