What is expand (e^a(cos(b)+isin(b)))^{ln(x)} ?

The solution to expand (e^a(cos(b)+isin(b)))^{ln(x)} is (e^acos(b)+ie^asin(b))^{ln(x)}

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expand (e^a(cos(b)+isin(b)))^{ln(x)}

expand

(e^{a} (cos (b) + i sin (b)))^{l n (x)}

(e^{a} cos (b) + i e^{a} sin (b))^{l n (x)}

Solution steps

(e^{a} (cos (b) + i sin (b)))^{l n (x)}

Expand

e^{a} (cos (b) + i sin (b)) : e^{a} cos (b) + i e^{a} sin (b)

= (e^{a} cos (b) + i e^{a} sin (b))^{l n (x)}

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What is expand (e^a(cos(b)+isin(b)))^{ln(x)} ?
The solution to expand (e^a(cos(b)+isin(b)))^{ln(x)} is (e^acos(b)+ie^asin(b))^{ln(x)}