Final answer:
The correct arrangement of 5 x's and 10 units using parentheses is option A) (5x) (10). This arrangement reflects correct mathematical grouping, representing a product of 5 x's and the number 10 as distinct terms.
Step-by-step explanation:
To arrange 5 x's and 10 units into groups using parentheses, we must understand how grouping affects mathematical operations. The correct grouping that represents the arrangement is given by option A) (5x) (10). This is because 5 x's grouped together indicate multiplication of the variable 'x' by 5, and the '10' is a separate unit, which when grouped together forms a product of two distinct terms. This can be illustrated by a math rule that states when raising each expression inside parentheses to a proper power, the power affects everything inside the parentheses. For example, (53)4 can be expanded into a multiplication of 5's, which would result in 512. Following this rule, it's clear that option A correctly groups the 5 x's and 10 units in a meaningful way. Options B, C, and D either improperly separate individual elements or incorrectly suggest multiplication of all elements within a single group.