Simplify Write the Answer Using Positive Exponents Only $\left( 5 x ^ { 6 } y ^ { 6 } \right) ^ { 2 } \left( x ^ { 8 } y ^ { 1 } \right) ^ { - 3 }$

question 372

Multiple Choice

Simplify. Write the answer using positive exponents only.
- $\left( 5 x ^ { 6 } y ^ { 6 } \right) ^ { 2 } \left( x ^ { 8 } y ^ { 1 } \right) ^ { - 3 }$

• A) \(\frac { 25 } { x ^ { 12 } y ^ { 9 } }\)
• B) \(\frac { \mathrm { y } ^ { 9 } } { 25 \mathrm { x } ^ { 12 } }\)
• C) \(25 x ^ { 12 } y ^ { 9 }\)
• D) \(\frac { 25 y ^ { 9 } } { x ^ { 12 } }\)

---

Definitions:

Equitable Interest

A legal interest in property that gives a party a financial stake or benefit in the property, though not necessarily an ownership interest.

Life Insurance Policy

A contract between an individual and an insurance company, where the company pays a designated beneficiary a sum of money upon the death of the insured person.

Covered Peril

A specific risk or cause of loss that is protected against under the terms of an insurance policy.

Property Insurance Policies

Contracts between an individual or business and an insurance company to protect against loss or damage to property due to events like fire, theft, or natural disasters.