Simplify the Expression $$\sqrt [ 3 ] { - 27 a ^ { 8 } b ^ { 5 } }$$

question 372

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt [ 3 ] { - 27 a ^ { 8 } b ^ { 5 } }$$

• A) not a real number
• B) \(- 3 a ^ { 2 } b \sqrt [ 3 ] { a ^ { 2 } b ^ { 2 } }\)
• C) \(3 a b \sqrt [ 3 ] { a ^ { 3 } b ^ { 3 } }\)
• D) \(3 a b \sqrt [ 3 ] { a ^ { 2 } b ^ { 2 } }\)

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Definitions:

Period Of Time

A specific duration or length of time during which an event occurs or conditions exist.

Individual Asset

A singular item of value owned by an entity, such as cash, investments, equipment, or property.

Liability

an obligation or debt that a company or individual has, typically arising during the course of business operations.

Owner's Equity

Owner's Equity, also known as proprietor’s equity, is the residual claim against the assets of a business after all liabilities are paid. It represents the owner’s investment in the business.