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Prove that:

[tex]{ \left( { e }^{ \sqrt { { e }^{ \ln { \left( \frac { { 3 }^{ 0 } }{ \sin { \left( \frac { \pi }{ 2 } \right) } } \right) } } } } \right) }^{ \ln { \left( \sqrt { { e }^{ \ln { \left( \frac { { 3 }^{ 0 } }{ \sin { \left( \frac { \pi }{ 2 } \right) } } \right) } } } \right) } }=1[/tex]

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Sagot :

Konrad509idn
[tex]{ \left( { e }^{ \sqrt { { e }^{ \ln { \left( \frac { { 3 }^{ 0 } }{ \sin { \left( \frac { \pi }{ 2 } \right) } } \right) } } } } \right) }^{ \ln { \left( \sqrt { { e }^{ \ln { \left( \frac { { 3 }^{ 0 } }{ \sin { \left( \frac { \pi }{ 2 } \right) } } \right) } } } \right) } }=1\\ { \left( { e }^{ \sqrt { { e }^{ \ln { \left( \frac { 1 }{ 1} \right) } } } } \right) }^{ \ln { \left( \sqrt { { e }^{ \ln { \left( \frac { 1 }{1 } \right) } } } \right) } }=1\\[/tex]
[tex] { \left( { e }^{ \sqrt { { e }^{ \ln 1 } } } \right) }^{ \ln { \left( \sqrt { { e }^{ \ln 1 } } \right) } }=1\\ { \left( { e }^{ \sqrt 1 } \right) }^{ \ln { \left( \sqrt 1 \right) } }=1\\ { \left( { e }^ 1 \right) }^{ \ln 1 }=1\\ e ^{ \ln 1 }=1\\1=1[/tex]
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