Use Properties of Rational Exponents to Simplify the Expression $\frac { \left( 3 x ^ { 5 / 7 } \right) ^ { 4 } } { x ^ { 1 / 7 } }$

question 28

Multiple Choice

Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
- $\frac { \left( 3 x ^ { 5 / 7 } \right) ^ { 4 } } { x ^ { 1 / 7 } }$

• A) \(81 x ^ { 19 / 7 }\)
• B) \(27 x ^ { 8 / 7 }\)
• C) \(3 x ^ { 19 / 7 }\)
• D) \(81 x ^ { 5 }\)

---

Definitions:

Divorce

signifies the formal termination of a marriage by legal means, dissolving the marital bond between two individuals.

Marriage

A legally and socially sanctioned union between individuals that establishes rights and obligations between them, as well as between them and their children, and between them and their in-laws.

Parasympathetic Nervous System

Part of the autonomic nervous system responsible for rest and digest functions, reducing heart rate, and increasing digestive activity.

Exocrine Glands

Glands that secrete substances through ducts to an external or internal surface of the body.