Express the Following Expression in Simplest Radical Form $\sqrt { 81 x ^ { 9 } y ^ { 6 } }$

question 3

Multiple Choice

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { 81 x ^ { 9 } y ^ { 6 } }$

• A) \(81 x ^ { 5 } y ^ { 3 } \sqrt { x }\)
• B) \(9 x ^ { 5 } y ^ { 3 }\)
• C) \(9 x ^ { 4 } y ^ { 4 } \sqrt { x }\)
• D) \(9 x ^ { 4 } y ^ { 3 } \sqrt { x }\)

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Definitions:

Condylar Joint

A type of synovial joint that allows movement but restricts rotation. It's found in places like the knee and elbow.

Metacarpophalangeal

Joints located at the base of the fingers, connecting the metacarpal bones of the hand to the proximal phalanges of the fingers.

Carpalmetacarpal

Refers to the joints formed between the carpal (wrist) bones and the metacarpal bones of the hand.

Glenoid Labrum

A fibrocartilaginous rim attached around the margin of the glenoid cavity in the shoulder blade, where it helps to deepen the socket and stabilize the joint.