Use the Properties of Exponents to Simplify the Expression $64 \left( \frac { a ^ { 3 } b ^ { - 6 } } { a ^ { - 3 } b ^ { 6 } } \right) ^ { 1 / 3 }$

question 45

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $64 \left( \frac { a ^ { 3 } b ^ { - 6 } } { a ^ { - 3 } b ^ { 6 } } \right) ^ { 1 / 3 }$

• A) \(\frac { 16 a } { b ^ { 2 } }\)
• B) \(\frac { 16 b ^ { 6 } } { a }\)
• C) \(4 a ^ { 2 } b ^ { 6 }\)
• D) \(\frac { 4 a ^ { 2 } } { b ^ { 4 } }\)

Understand firm shutdown conditions and the role of fixed and variable costs.

Comprehend the concept and calculation of short-run profits and losses in competitive markets.

Identify the conditions under which firms will earn zero, positive, or negative economic profits.

Recognize the significance of the market supply curve and its relation to individual firm supply in a competitive market.

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Definitions:

Full-Fielding

A method used in electrical engineering to provide maximum voltage to a device's field winding to generate its highest possible output.

Electrical Load

A device or component that consumes electrical power, such as lights, motors, or electronic devices, within an electrical circuit.

Voltage Spikes

Sudden increases in electrical voltage within a circuit, which can potentially cause damage to electronic equipment.

Undercharging

The condition in which a battery or electronic device is not replenished with energy to its full capacity, often leading to decreased performance.