Simplify the Expressions $\frac { a ^ { 2 } b ^ { - 1 } } { a ^ { - 1 } b ^ { 7 } }$

question 82

Multiple Choice

Simplify the expressions. Remove all negative and zero exponents. Assume all expressions are defined. $\frac { a ^ { 2 } b ^ { - 1 } } { a ^ { - 1 } b ^ { 7 } }$

• A) \(\frac { b ^ { 3 } } { a ^ { 8 } }\)
• B) \(\frac { a ^ { 2 } } { b ^ { 7 } }\)
• C) \(\frac { b ^ { 8 } } { a ^ { 3 } }\)
• D) \(\frac { b ^ { 2 } } { a ^ { 7 } }\)
• E) \(\frac { a ^ { 3 } } { b ^ { 8 } }\)

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Definitions:

Divide And Conquer

An algorithm design paradigm that solves a problem by breaking it down into smaller subproblems, solving each subproblem individually, and then combining their solutions.

Binary Search

An efficient algorithm for finding an item from a sorted list of items by repeatedly dividing in half the portion of the list that could contain the item.

Sequential Search

A search algorithm that checks each element in a list one at a time until the desired element is found or the list ends.