6i^54+5i^37-2i^11+6i^68 . evaluate
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Given: The term 6i^54 + 5i^37 - 2i^11 + 6i^68
To find: evaluate the given term.
Solution:
- Now we have given:
6i^54 + 5i^37 - 2i^11 + 6i^68
- We know the values of:
i = √-1
i² = -1
i³ = -√-1
i^4 = 1
- So simplifying the given expression, we get:
6i^(4x13)+2 + 5i^(4x9)+1 - 2i^(4x2)+3 + 6i^(4x17)
- Again simplifying this, we get:
6i^2 + 5i^1 - 2i^3 + 6i
- Putting the values in it, we get:
6(-1) + 5i - 2(-i) + 6i
-6 + 13i
Answer:
So the value of the given expression is -6 + 13i.
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