Name the property shown by the statement. 9(6n)=(9x6)n

Question

Name the property shown by the statement. 9(6n)=(9x6)n

 

I am stuck.

Answer 1

When multiplying three or more real numbers, their product is always the same regardless of their grouping.

For instance, let  a, b, and c  be real numbers then, by the above statement, the following is true:

          (a • b) • c  =  a • (b • c)  =  (a • c) • b

This is known as the associative property of multiplication.

Thus,

          9 • (6 • n)  =  (9 • 6) • n  =  (9 • n) • 6