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Write in the simplest form: (i)-997
- a)-i
- b)1
- c)-1
- d)i
Correct answer is 'A'. Can you explain this answer?
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Verified Answer
Write in the simplest form: (i)-997a)-ib)1c)-1d)iCorrect answer is 'A'...
I^-997= 1/i^997, 1/(i^4)^249 × i, since i^4 = 1, i^4/i= i^3= -i
Most Upvoted Answer
Write in the simplest form: (i)-997a)-ib)1c)-1d)iCorrect answer is 'A'...
Explanation:
The given expression is (i)-997.
- i is the imaginary unit which is defined as √(-1).
- When we multiply i with any real number, the result is an imaginary number.
- So, (i)-997 can be written as -997i, which is a pure imaginary number.
- A pure imaginary number is a complex number where the real part is 0 and the imaginary part is non-zero.
- Therefore, the simplest form of (i)-997 is -997i.
Hence, option A is the correct answer.
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Community Answer
Write in the simplest form: (i)-997a)-ib)1c)-1d)iCorrect answer is 'A'...
So easy. (i)^-997 = 1/i^997 = solving. den. =( i^4×249) × i = i. now we realmain with 1/i. multiply and divide with i. u will get -i
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Write in the simplest form: (i)-997a)-ib)1c)-1d)iCorrect answer is 'A'. Can you explain this answer?
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