Simplify the Expression $\sqrt [ 5 ] { \frac { t ^ { 2 } } { 7776 } }$

question 621

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $\sqrt [ 5 ] { \frac { t ^ { 2 } } { 7776 } }$

• A) \(\frac { \sqrt [ 5 ] { t } } { 6 }\)
• B) \(\frac { t } { 6 }\)
• C) \(\frac { \sqrt [ 5 ] { t ^ { 2 } } } { 6 }\)
• D) \(\sqrt { \frac { 5 t ^ { 2 } } { 7776 } }\)

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Definitions:

Lateral Side

The part or surface of a body that is positioned toward the side, away from the midline.

Ankle Joint

A complex joint that connects the foot to the leg, comprising three bones (tibia, fibula, and talus) and allowing up-and-down and side-to-side movements of the foot.

Fibula

A long, slender bone located on the lateral side of the tibia in the lower leg, playing a significant role in stabilizing the ankle and supporting muscles of the lower leg.

Femur

The thigh bone, which is the longest, heaviest, and strongest bone in the human body, connecting the hip to the knee.