Use the Rules of Exponents to Simplify the Expression $\left( 2 x ^ { 4 } y ^ { 6 } \right) ^ { - 2 }$

question 28

Multiple Choice

Use the rules of exponents to simplify the expression $\left( 2 x ^ { 4 } y ^ { 6 } \right) ^ { - 2 }$ using only positive exponents. Assume that neither x nor y is 0.

• A) \(2 x ^ { 2 } y ^ { 4 }\)
• B) \(\frac { 1 } { 4 x ^ { 8 } y ^ { 12 } }\)
• C) \(\frac { 1 } { 2 x ^ { 8 } y ^ { 12 } }\)
• D) \(4 x ^ { 2 } y ^ { 4 }\)
• E) \(\frac { 2 } { x ^ { 8 } y ^ { 12 } }\)

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Definitions:

Social Poise

The ability to remain calm, confident, and composed in social situations, often reflecting a sense of social ease and maturity.

Self-dramatizing

A tendency to act out or exaggerate one's emotions or experiences, often for attention or manipulation.

Independent

Capable of thinking or acting for oneself, not influenced or controlled by others; showing self-reliance or autonomy.

Narcissism

A personality trait characterized by a grandiose sense of self-importance, a need for excessive admiration, and a lack of empathy for others.