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When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

Suppose a, b, and c is three real numbers.

Associative property of Multiplication

Property: $\text{(a}  ·  \text{b)}  ·  \text{c}=\text{a}  ·  ( \text{b}  ·  \text{c} )$

If you are multiplying three real numbers, the product is always the same regardless of their grouping.

Example: $\text{(6}  ·  \text{4)}  ·  \text{3}=\text{6}  ·  ( \text{4}  ·  \text{3} )  =  72$

To evaluate the expression$33xy$, substitute the value of x as – 5 and the value of y as 3 and z as 2 and multiply the numbers as shown below,

localid="1652348647373" $\begin{array}{l}\text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰}{x}^2\text{ }y\text{ }{z}^2\text{ }\\ ={\left(-5\right)}^2\text{ â¶Ä‰â¶Ä‰}·\text{ }3\text{ }·\text{ }{2}^2\text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰Substitute â¶Ä‰}x=−5,\text{ â¶Ä‰}y=3\text{ â¶Ä‰and â¶Ä‰}z=2\\ =\text{ â¶Ä‰}25\text{ }·\text{ }3\text{ }·\text{ }4\\ =\text{ â¶Ä‰}25\text{ â¶Ä‰}·\text{ â¶Ä‰}(3\text{ â¶Ä‰}·\text{ â¶Ä‰}4)\text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰}(\text{Associative â¶Ä‰Property â¶Ä‰of â¶Ä‰Multiplication)}\\ =(25\text{ â¶Ä‰}·\text{ â¶Ä‰}3)\text{ â¶Ä‰}·\text{ â¶Ä‰}4\text{ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰}(\text{Associative â¶Ä‰Property â¶Ä‰of â¶Ä‰Multiplication)}\\ =\text{ â¶Ä‰}75\text{ â¶Ä‰}·\text{ â¶Ä‰}4=300\end{array}$

Thus, the value of the expression$x^2\text{ }y\text{ }{z}^2\text{ â¶Ä‰}=\text{ â¶Ä‰}300$