Math  /  Algebra

QuestionCalculate the power and express it in rectangular form: [5(cos30+isin30)]4[5(\cos 30^{\circ}+i \sin 30^{\circ})]^{4}.

Studdy Solution
implify the expression.
6252+i62532=312.5+i312.53-\frac{625}{2}+i \frac{625\sqrt{3}}{2} = -312.5 + i312.5\sqrt{3} So, the fourth power of the given complex number in rectangular form is 312.5+i312.53-312.5 + i312.5\sqrt{3}.

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