Express the Following Expression in Simplest Radical Form $$\frac { \sqrt [ 3 ] { 45 x y } } { \sqrt [ 3 ] { 5 x ^ { 2 } y ^ { 5 } } }$$

question 88

Multiple Choice

Express the following expression in simplest radical form. All variables represent positive real numbers. $$\frac { \sqrt [ 3 ] { 45 x y } } { \sqrt [ 3 ] { 5 x ^ { 2 } y ^ { 5 } } }$$

• A) \(\frac { 3 \sqrt [ 3 ] { x ^ { 2 } y ^ { 2 } } } { x y ^ { 2 } }\)
• B) \(\frac { \sqrt [ 3 ] { 9 x y } } { y }\)
• C) \(\frac { 9 \sqrt [ 3 ] { x y } } { x y ^ { 2 } }\)
• D) \(\frac { \sqrt [ 3 ] { 9 x ^ { 2 } y ^ { 2 } } } { x y ^ { 2 } }\)
• E) \(\frac { \sqrt [ 3 ] { 9 } } { x y ^ { 3 } }\)

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Definitions:

Resting Length

The length of a muscle when it is not actively contracted or stretched, influencing its ability to generate force.

Sarcomeres

The fundamental units of muscle contraction, composed of long, fibrous proteins that slide past each other when muscles contract and relax.

Intercalated Discs

Specialized junctions between cardiac muscle cells that facilitate the synchronized contraction of the heart.

Excitation-Contraction Coupling

The physiological process of converting an electrical stimulus to a mechanical response, essential for muscle contraction.