Find the Product $\left( 7 p ^ { 3 / 5 } + 4 p ^ { 4 / 5 } \right) ^ { 2 }$

question 85

Multiple Choice

Find the product. Assume variables represent positive real numbers.
- $\left( 7 p ^ { 3 / 5 } + 4 p ^ { 4 / 5 } \right) ^ { 2 }$

• A) \(49 p ^ { 6 / 5 } + 28 p ^ { 7 / 5 } + 16 p ^ { 8 / 5 }\)
• B) \( 49 p^{6 / 5}+56 p^{7 / 5}+16 p^{8 / 5} \)
• C) \(49 p ^ { 9 / 25 + 7 p }\)
• D) \(14 \mathrm { p } ^ { 6 / 5 } + 28 \mathrm { p } ^ { 8 / 5 } + 8 \mathrm { p } ^ { 8 / 5 }\)

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Definitions:

Abducens Nerve

The sixth cranial nerve, responsible for controlling the lateral rectus muscle of the eye, which abducts the eye.

Innervations

The supply of nerves to a specific body part, crucial for sensation and movement.

Lateral Rectus

A muscle in the eye responsible for moving the eyeball outward, away from the midline of the body.

Auditory Cortex

The part of the brain that is responsible for processing auditory information, located in the temporal lobe.