Simplify the Radical $9 \sqrt [ 3 ] { \frac { c ^ { 18 } d ^ { 20 } } { 64 } }$

question 9

Multiple Choice

Simplify the radical. Assume that all variables represent positive real numbers.
- $9 \sqrt [ 3 ] { \frac { c ^ { 18 } d ^ { 20 } } { 64 } }$

• A) \(\frac { 27 } { 64 } c ^ { 18 } d ^ { 20 } \sqrt [ 3 ] { c d }\)
• B) \(\frac { 9 } { 4 } c d \sqrt [ 3 ] { c ^ { 18 } d ^ { 20 } }\)
• C) \(\frac { 9 } { 4 } c ^ { 6 } d ^ { 6 } \sqrt [ 3 ] { d ^ { 2 } }\)
• D) \(\frac { 9 } { 64 } c ^ { 6 } d ^ { 7 }\)

---

Definitions:

Price Floor

A government or regulatory-imposed minimum price for goods or services, intended to prevent prices from dropping too low.

Shortage

A circumstance in which the market desire for a service or product is greater than the supply.

Surplus

The situation in which the quantity supplied of a product exceeds the quantity demanded, often leading to price decreases.

Price Ceiling

A government-imposed limit on how high a price can be charged for a product or service, intended to protect consumers.