- #1
Lucy Yeats
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Homework Statement
Verify that the equation (z1z2)^w=(z1^w)(z2^w) is violated for z1=z2=-1 and w=-i.
Under what conditions on the complex values z1 and z2 does the equation hold for all
complex values of w?
Homework Equations
The Attempt at a Solution
((-1)x(-1))^(-i)=1^(-i)=e^ln(1^(-i))=e^(-iln1)=e^0=1
(-1)^(-i)x(-1)^(-i)=(-1)^(-2i)=((-1)^2)^(-i)=1^(-i) but this is the same as above.
Thanks in advance for helping. :-)