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What is the value of ∣i 21 ∣?
A 1
B i
C 1
D i

1 Answer

3 votes

Final answer:

The absolute value of the complex number i to the power of 21 is 21, as it involves calculating the square root of the sum of the squares of its real and imaginary parts.

Step-by-step explanation:

The question appears to involve complex numbers and their absolute values. The absolute value of a complex number is equal to the square root of the sum of the squares of its real part and its imaginary part. For example, if we have a complex number i21, this is purely imaginary, with 0 as its real part and 21 as its imaginary part.

To find the absolute value, we calculate the magnitude as follows: |i21| = √(02 + 212) = √441 = 21. The value of |i21| is thus 21, not 1 or i as suggested in the question's options. This likely involves a typo or misunderstanding in the question itself.

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