Write with Positive Exponents $$\frac { 1 } { x ^ { - 8 / 3 } }$$

question 332

Multiple Choice

Write with positive exponents. Simplify if possible.
- $$\frac { 1 } { x ^ { - 8 / 3 } }$$

• A) \(\frac { - 1 } { x ^ { 8 / 3 } }\)
• B) \(\frac { 1 } { x ^ { 3 / 8 } }\)
• C) \(- x ^ { 8 / 3 }\)
• D) \(x ^ { 8 / 3 }\)

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Definitions:

Quantifier Negation

The process of changing the quantifier in a statement, such as from "all" to "not all," to negate its original meaning.

Universal Generalization

A principle of deductive reasoning that allows one to conclude that something is true for all cases after confirming it is true in every observed case.

Existential Instantiation

A logical principle that states from the knowledge that something exists, one can infer the existence of an instance of that thing.

Universal Instantiation

A logical rule that allows one to deduce that a statement applies to specific instances given it holds for all instances.