what is the modulus of the complex number i^2n+1(-i)^2n-1,where n belong to natural number and i=√-1​

what is the modulus of the complex number i^2n+1(-i)^2n-1,where n belong to natural number and i=√-1​

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2 thoughts on “what is the modulus of the complex number i^2n+1(-i)^2n-1,where n belong to natural number and i=√-1​”

  1. Answer:

    Step-by-step explanation:

    1. Use the property of modulus that Iz^nI can be written as IzI^n

    2. Question Ii^2n+1I I-i^2n-1I

    3. Now using property we can write it as I i I^2n+1 X I i I^2n-1

    4. Now find modulus of i and -i which is 1.

    5. 1^2n+1 X 1^2n-1

    6. power of 1 is always 1

    7. 1 X 1 = 1

    8. Answer is 1

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