Use the Laws of Exponents to Simplify $$\left( 5 a ^ { 1 / 7 } \cdot b ^ { 5 / 7 } \right) ^ { 3 }$$

question 24

Multiple Choice

Use the laws of exponents to simplify. Write the answer with positive exponents.
- $$\left( 5 a ^ { 1 / 7 } \cdot b ^ { 5 / 7 } \right) ^ { 3 }$$

• A) \(5 a ^ { 3 / 7 } b ^ { 15 / 7 }\)
• B) \(125 ( a b ) ^ { 15 / 7 }\)
• C) \(15 a ^ { 3 / 7 } b ^ { 5 / 7 }\)
• D) \(125 a ^ { 3 / 7 } b ^ { 15 / 7 }\)

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Definitions:

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Anorexia Nervosa

A psychological eating disorder characterized by extreme weight loss, an irrational fear of gaining weight, and a distorted body image.

Drastic Weight-Loss

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The condition of not having enough food or the right kinds of food necessary for good health and growth.