Use Rational Exponents to Simplify $$( \sqrt [ 8 ] { x y } ) ^ { 32 }$$

question 235

Multiple Choice

Use rational exponents to simplify. Assume that all variables represent positive real numbers.
- $$( \sqrt [ 8 ] { x y } ) ^ { 32 }$$

• A) \(x ^ { 4 } y\)
• B) \(x y ^ { 4 }\)
• C) \(\sqrt [ 8 ] { x y }\)
• D) \(( x y ) ^ { 4 }\)

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Definitions:

Deductive Sequence

A logical process where conclusions are based on the concordance of multiple premises that are generally assumed to be true.

Inductive Sequence

A logical process where specific observations or examples are used to make general conclusions.

Routine Requests

Frequently made requests for information or action that follow a standard or expected format.

Inductive Sequence

A method of reasoning in which specific observations lead to a general conclusion or principle.