Write the Function Without Radicals by Using Fractional Exponents $$y = \sqrt [ 3 ] { x ^ { 2 } } - \sqrt { 7 x }$$

question 165

Multiple Choice

Write the function without radicals by using fractional exponents.
- $$y = \sqrt [ 3 ] { x ^ { 2 } } - \sqrt { 7 x }$$

• A) \(y = x ^ { 1 / 3 } - ( 7 x ) ^ { 1 / 2 }\)
• B) \(y = x ^ { 3 / 2 } - 7 x ^ { 1 / 2 }\)
• C) \(y = x ^ { 2 / 3 } - ( 7 x ) ^ { 1 / 2 }\)
• D) \(y = x ^ { 2 / 3 } - 7 x ^{1 / 2}\)

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Definitions:

Annulus Fibrosus

The outer portion of the intervertebral disc that surrounds the nucleus pulposus, providing the disc with strength and flexibility.

Fibrocartilage

A type of tough, dense tissue that has both fibrous and cartilaginous qualities, found in areas like intervertebral disks.

Spinal Column

The flexible, bony structure extending from the base of the skull to the tailbone, composed of individual vertebrae and housing the spinal cord.

Nucleus Pulposus

The nucleus pulposus is the gel-like inner core of an intervertebral disc, which helps absorb shock and maintain spinal flexibility.