Simplify the Expression $\sqrt [ 5 ] { \mathrm { x } ^ { 18 } \mathrm { y } ^ { 9 } \mathrm { z } ^ { 14 } }$

question 292

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $\sqrt [ 5 ] { \mathrm { x } ^ { 18 } \mathrm { y } ^ { 9 } \mathrm { z } ^ { 14 } }$

• A) \(x ^ { 15 } y ^ { 5 } z \sqrt [ 5 ] { x ^ { 3 } y ^ { 4 } z ^ { 4 } }\)
• B) \(x y z \sqrt [ 5 ] { x ^ { 3 } y ^ { 4 } z ^ { 4 } }\)
• C) \(x ^ { 3 } y ^ { 2 } \sqrt [ 5 ] { y ^ { 4 } z ^ { 4 } }\)
• D) \(x ^ { 3 } y ^ { 2 } \sqrt [ 5 ] { x ^ { 3 } y ^ { 4 } z ^ { 4 } }\)

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Definitions:

Parthenon

A former temple on the Athenian Acropolis, Greece, dedicated to the goddess Athena, exemplifying classical Greek architecture and art.

Panathenaic Procession

An ancient Athenian festival celebrating the birthday of the goddess Athena, featuring a grand procession to the Acropolis.

Contrapposto

An art term that describes a human figure standing with most of its weight on one foot so that its shoulders and arms twist off-axis from the hips and legs, giving the body a more dynamic and relaxed appearance.

Doryphoros

Greek, “spear bearer.”