Math Problem Statement
(2i)^4 simplified
Solution
To simplify , follow these steps:
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Calculate the power of the imaginary unit :
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Calculate the power of the coefficient :
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Combine the results:
Therefore, simplifies to .
Would you like more details or have any questions?
Here are some related questions for further exploration:
- What are the properties of the imaginary unit ?
- How do you multiply complex numbers?
- What is the result of ?
- How do you divide complex numbers?
- How do you add and subtract complex numbers?
- How do you find the modulus of a complex number?
- What is the polar form of a complex number?
- How do you find the roots of complex numbers?
Tip: Remember that is defined as , and its powers cycle every four: . This can help you quickly simplify expressions involving .
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Powers and Exponents
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12