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:

Recover

The act of getting something back that was lost or taken away.

Strict Liability

A legal principle that holds parties responsible for damages or harm caused by their actions, without the need for proving negligence or fault.

Obstacles to Recovery

Factors or circumstances that hinder or prevent an individual or entity from recovering from a loss or injury.

Section 402A

A section of the Restatement (Second) of Torts that established the principle of strict liability for defective products, making manufacturers and sellers liable for damages caused by defective products.