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kougou
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Homework Statement
e^(i*2pi*1/15) is equal to ( e^(i*2pi) )^(1/15) = (1)^(1/15)=1
Why this is false?
Homework Equations
((A)^(b))^c=A^(b*c)=A^(bc). Why this isn't the case for complex exponential?
kougou said:Homework Statement
e^(i*2pi*1/15) is equal to ( e^(i*2pi) )^(1/15) = (1)^(1/15)=1
Why this is false?
Homework Equations
((A)^(b))^c=A^(b*c)=A^(bc). Why this isn't the case for complex exponential?
The Attempt at a Solution
Dick said:Because it isn't. The rule (A^b)^c=A^(bc) doesn't hold for complex exponents. As your example shows.
kougou said:But why?
When I use take the positive integer power of complex exponential, it works. What's the rule?
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