Factor, Using the Given Factor $$( q + 5 ) ^ { - 3 / 5 } + ( q + 5 ) ^ { - 1 / 5 } + ( q + 5 ) ^ { 1 / 5 } ; \quad ( q + 5 ) ^ { - 3 / 5 }$$

question 398

Multiple Choice

Factor, using the given factor. Assume all variables represent positive real numbers.
- $$( q + 5 ) ^ { - 3 / 5 } + ( q + 5 ) ^ { - 1 / 5 } + ( q + 5 ) ^ { 1 / 5 } ; \quad ( q + 5 ) ^ { - 3 / 5 }$$

• A) \(( \mathrm { q } + 5 ) ^ { - 3 / 5 } \left[ 1 + ( \mathrm { q } + 5 ) ^ { 2 / 5 } + ( \mathrm { q } + 5 ) ^ { 4 / 5 } \right]\)
• B) \(( q + 5 ) ^ { - 3 / 5 } \left[ 1 + ( q + 5 ) ^ { 1 / 5 } + ( q + 5 ) ^ { 3 / 5 } \right]\)
• C) \(( q + 5 ) ^ { - 3 / 5 } \left[ 1 + ( q + 5 ) ^ { - 2 / 5 } + ( q + 5 ) ^ { - 4 / 5 } \right]\)
• D) \(( q + 5 ) ^ { - 3 / 5 } \left[ 1 + ( q + 5 ) ^ { 4 / 5 } + ( q + 5 ) ^ { 6 / 5 } \right]\)

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Definitions:

Behavior Feedback Effect

describes how the expression of a behavior can influence and reinforce the feelings and attitudes associated with that behavior.

Facial Feedback Effect

The hypothesis that facial movements can influence emotional experiences, suggesting that smiling can make you feel happier.

Self-Reported Emotions

Emotions that individuals acknowledge and describe about themselves, typically through verbal or written reports.

Facial Expressions

Visible changes in the face that communicate someone's emotions to others.