The value of (−1)500 is
- a)1
- b)-1
- c)0
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
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If any power having a even number is raised to -1 then the result will be 1
Since the power is an even number , So (−1)500 = 1
Most Upvoted Answer
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Solution:
The value of (-1)^500 can be found by using the concept of even and odd powers of -1.
Even powers of -1 are those powers which give a positive result, while odd powers of -1 are those powers which give a negative result.
- (-1)^2 = 1 (even power)
- (-1)^3 = -1 (odd power)
- (-1)^4 = 1 (even power)
- (-1)^5 = -1 (odd power)
We can see that the pattern repeats itself, with even powers giving a positive result and odd powers giving a negative result.
Therefore, (-1)^500 is an even power of -1 and will give a positive result.
Hence, the value of (-1)^500 is 1.
Therefore, the correct answer is option A.
The value of (-1)^500 can be found by using the concept of even and odd powers of -1.
Even powers of -1 are those powers which give a positive result, while odd powers of -1 are those powers which give a negative result.
- (-1)^2 = 1 (even power)
- (-1)^3 = -1 (odd power)
- (-1)^4 = 1 (even power)
- (-1)^5 = -1 (odd power)
We can see that the pattern repeats itself, with even powers giving a positive result and odd powers giving a negative result.
Therefore, (-1)^500 is an even power of -1 and will give a positive result.
Hence, the value of (-1)^500 is 1.
Therefore, the correct answer is option A.
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Community Answer
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We know that if the power of -1 is negative the answer is always -1. Because when we multiply -1 by -1 500 times the answer is -1.
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The value of (−1)500 isa)1b)-1c)0d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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