Simplify $( \sqrt { - 2 } ) ^ { 11 }$

question 120

Multiple Choice

Simplify $( \sqrt { - 2 } ) ^ { 11 }$ and write the answer in standard form.

• A) \(32 \sqrt { 2 } i\)
• B) \(- 32 \sqrt { 2 } i\)
• C) \(1024 \sqrt { 2 } i\)
• D) \(- 32 \sqrt { 2 }\)
• E) The expression cannot be simplified.

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Definitions:

Syllogism Validity

A measure of whether a syllogism (a form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion) logically follows from its premises.

Venn Diagram

A graphical representation used to show all possible logical relations between a finite collection of sets.

Categorical Syllogism

A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion, based on relationships between categories.

Syllogism Forms

Structured arguments using three propositions: two premises followed by a conclusion, based on deductive reasoning to infer a relationship between items.