Use Rational Exponents to Simplify $$( \sqrt [ 6 ] { a b } ) ^ { 12 }$$

question 42

Multiple Choice

Use rational exponents to simplify. Write the answer in radical notation if appropriate.
- $$( \sqrt [ 6 ] { a b } ) ^ { 12 }$$

• A) \(( \sqrt [ 2 ] { a b } ) ^ { 6 }\)
• B) \(( a b ) ^ { 6 }\)
• C) \(\sqrt [ 2 ] { a b }\)
• D) \(( a b ) ^ { 2 }\)

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Definitions:

ATC

The total cost per unit of output, calculated by dividing the total cost by the amount of output produced.

Long-Run Equilibrium

A state in which all factors of production are fully adjusted to the economic conditions, leading to a situation where there is no tendency for change.

Purely Competitive Firm

refers to a company that operates in a market where there are many buyers and sellers, no barriers to entry, and the product is a commodity, leading the firm to be a price taker.