Simplify the Expression $\left( \frac { r ^ { 4 } r ^ { - 2 } } { r ^ { 4 } r ^ { - 4 } } \right) ^ { 5 }$

question 132

Multiple Choice

Simplify the expression. $\left( \frac { r ^ { 4 } r ^ { - 2 } } { r ^ { 4 } r ^ { - 4 } } \right) ^ { 5 }$ Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.

• A) \( r ^ { 10}\)
• B) \( r ^ { 0}\)
• C) \( r ^ { 30}\)
• D) \( r ^ { 5}\)

---

Definitions:

Operating Quadrants

The four potential modes of operation for a drive or motor, determined by the direction of torque and rotation or direction of current and voltage.

Torque

A measure of the force that can cause an object to rotate about an axis. It is a major consideration in machine design and operation.

Rotation

The act or process of moving or turning around a central axis or point.

Four Stages

Describes a process or system that is divided into four distinct phases or levels of operation.