Simplify the Radical Expression $\sqrt [ 4 ] { 243 x ^ { 8 } y ^ { 4 } }$

question 289

Essay

Simplify the radical expression. All variables represent positive real numbers. $\sqrt [ 4 ] { 243 x ^ { 8 } y ^ { 4 } }$

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Definitions:

Pulsating

Describes a physical or electrical effect that occurs in intervals, typically experienced as oscillations or vibrations.

Sine

A mathematical function that describes the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle, often related to waveforms in physics.

Linear

When used in comparing electric devices or quantities, signifies that one unit is equal to another.

RMS

Root Mean Square, a statistical measure of the magnitude of a varying quantity, commonly used to calculate the effective value of an alternating current.