Simplify the Expression by Using the Properties of Rational Exponents $$\left( \frac { 81 s ^ { 12 } r ^ { - 4 } } { 16 s ^ { - 4 } r ^ { 4 } } \right) ^ { 3 / 4 }$$

question 124

Multiple Choice

Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only. $$\left( \frac { 81 s ^ { 12 } r ^ { - 4 } } { 16 s ^ { - 4 } r ^ { 4 } } \right) ^ { 3 / 4 }$$

• A) \(\frac { 3 s ^ { 12 } } { 2 r ^ { 6 } }\)
• B) \(\frac { 27 s ^ { 6 } } { 8 }\)
• C) \(\frac { 3 s ^ { 16 } r ^ { 8 } } { 2 }\)
• D) \(\frac { 27 s ^ { 12 } } { 8 r ^ { 6 } }\)

---

Definitions:

Physiological Needs

Basic physical requirements for human survival, such as air, water, food, shelter, and sleep.

Refreshment Breaks

Refreshment breaks are short periods during work hours when employees can rest, relax, and have snacks or beverages, contributing to their well-being and productivity.

Reasonable Work Hours

Work schedules that are considered fair and appropriate, allowing for a balance between professional commitments and personal life.

Maslow's Progression Principle

A concept from Maslow's hierarchy of needs suggesting individuals progress through levels of needs from basic physiological needs to self-actualization.