Question

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

Answer 1

Answer:

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Answer 2

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