Final answer:
The equation 6(7×3)=(6×7)×3 illustrates the Associative Property of Multiplication, which states that the grouping of numbers in multiplication does not change the product.
Step-by-step explanation:
The equation 6(7×3)=(6×7)×3 is an example of the Associative Property of Multiplication. This property states that when three or more numbers are multiplied together, the product is the same regardless of the grouping of the numbers. By grouping, we mean how the numbers are paired together with parentheses in multiplication.
For instance, if we have the expression a(bc), we can regroup the numbers as (ab)c without changing the result. Similarly, taking the example of 6(7×3), it can be rewritten as (6×7)×3. Both expressions will equal 126. It shows that multiplication is associative, as the way in which factors are grouped does not affect the product.
In contrast to the Associative Property, exponents follow different rules, such as (x^a)^b = x^(a.b) and when multiplying exponentiated quantities like 3.2 × 10^3 times 2 × 10^2, it results in 6.4 × 10^5. Here, we are using the rule of multiplying base numbers separately and then adding exponents when the bases are the same.