Simplify the Expression $$\sqrt [ 3 ] { x y ^ { 5 } } \cdot \sqrt [ 3 ] { x ^ { 16 } y ^ { 8 } }$$

question 618

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt [ 3 ] { x y ^ { 5 } } \cdot \sqrt [ 3 ] { x ^ { 16 } y ^ { 8 } }$$

• A) \(x ^ { 5 } y ^ { 4 } \sqrt [ 3 ] { x ^ { 2 } y }\)
• B) \(x ^ { 5 } y ^ { 5 } \sqrt [ 3 ] { x y }\)
• C) \(x ^ { 5 } y ^ { 6 } \sqrt [ 3 ] { x ^ { 2 } y ^ { 2 } }\)
• D) \(x ^ { 5 } y ^ { 4 } \sqrt [ 3 ] { x y ^ { 2 } }\)

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Interest Payments

Payments made to lenders as compensation for borrowing money, typically calculated as a percentage of the loan amount.

Market Failure

A scenario in which the distribution of goods and services through a free market fails to be efficient, frequently resulting in a decrease in net social welfare.

Negative Externalities

Costs experienced by someone who is not directly involved in the production or consumption of a good or service.

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Benefits experienced by third parties or society at large as a result of an economic activity, without the third party incurring any cost.