Question

sa se calculeze ( numere complexe) dau 80 de puncte !!​

Answer 1

Succes! Sa imi spui daca nu intelegi ceva

Answer 2

Explicație pas cu pas:

$\dfrac{1}{ {i}^{25} } - \dfrac{1}{ {i}^{54} } - \dfrac{1}{ {(- i)}^{10} } + \dfrac{1}{ {i}^{75} } + \dfrac{2}{ {(- i)}^{102} } =$

$= \dfrac{1}{ {({i}^{2})}^{12} \cdot i} - \dfrac{1}{ {( {i}^{2} )}^{27}} - \dfrac{1}{ { {(( - i)}^{2} )}^{5}} + \dfrac{1}{ {({i}^{2})}^{37} \cdot i} + \dfrac{2}{{ {(( - i)}^{2} )}^{51}}$

$= \dfrac{1}{ {( - 1)}^{12} \cdot i} - \dfrac{1}{ {( - 1)}^{27}} - \dfrac{1}{ {( - 1)}^{5} } + \dfrac{1}{ {( - 1)}^{37} \cdot i} + \dfrac{2}{ {( - 1)}^{51} }$

$= \dfrac{1}{i} - \dfrac{1}{ - 1} - \dfrac{1}{ - 1} + \dfrac{1}{ - i} + \dfrac{2}{ - 1}$

$= ( - i) - ( - 1) - ( - 1) + ( + i) + ( - 2)$

$= - i + 1 + 1 + i - 2 = \bf 0$