Reduce the Index of the Radical $\sqrt [ 9 ] { y ^ { 15 } }$

question 15

Multiple Choice

Reduce the index of the radical. $\sqrt [ 9 ] { y ^ { 15 } }$

• A) \(y ^ { 6 }\)
• B) \(\frac { 1 } { y ^ { 6 } }\)
• C) \(\sqrt [ 3 ] { y ^ { 5 } }\)
• D) \(\sqrt [ 6 ] { y }\)
• E) \(\sqrt { y ^ { 6 } }\)

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Definitions:

Basilar Membrane

A membrane in the cochlea of the inner ear that plays a key role in the sense of hearing by vibrating in response to sound and facilitating auditory processing.

Lower Frequency

Refers to sounds or waves that have a lower rate of vibration, and thus a deeper pitch or longer wavelength.

Higher Frequency

Refers to a greater number of cycles or events per unit time, often used in the context of waves or signals.

Cochlea

A spiral-shaped, fluid-filled inner ear structure that plays a key role in the process of hearing by converting sound waves into nerve impulses.