Symbol

# Calculator search results

Formula
Calculate the expression with imaginary numbers
$\left( \dfrac{ 1-i }{ \sqrt{ 2 } } \right) ^{ 50 }$
$- i$
Calculate the $N$ square of a complex number of size $1$
$\left ( \color{#FF6800}{ \dfrac { 1 - i } { \sqrt{ 2 } } } \right ) ^ { \color{#FF6800}{ 50 } }$
$N$ square format of the special complex number has periodicity 
$\left ( \left ( \color{#FF6800}{ \dfrac { 1 - i } { \sqrt{ 2 } } } \right ) ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 25 } }$
$\left ( \left ( \color{#FF6800}{ \dfrac { 1 - i } { \sqrt{ 2 } } } \right ) ^ { \color{#FF6800}{ 2 } } \right ) ^ { 25 }$
 It is $\left(\dfrac { 1 - i } { \sqrt{ 2 } }\right)^2=- i$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ i } \right ) ^ { 25 }$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ i } \right ) ^ { \color{#FF6800}{ 25 } }$
 Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times 
$\color{#FF6800}{ - } i ^ { 25 }$
$- \color{#FF6800}{ i } ^ { \color{#FF6800}{ 25 } }$
 Calculate $i ^ { 25 }$
$- \color{#FF6800}{ i }$
Have you found the solution you wanted?
Try again
Try more features at Qanda!
Search by problem image
Ask 1:1 question to TOP class teachers
AI recommend problems and video lecture