Question

Por Favor alguem me Ajude ! Urgente Preciso para Concluir 3º Médio hj 7:00am ...Por favor !
CALCULE:

A) $i ^{10} + i ^{8} - 4i ^{52}$

B) $\frac{i ^{20}.(i ^{2} ) ^{2} }{3.i ^{134} }$

Answer 1

$i=\sqrt{-1}\\i^2=-1\\i^3=-1i\\i^4=1\\i^5=\sqrt{-1}=i\\i^6=-1\\i^7=-1i\\i^8=1\\\vdots\qquad\vdots$



$a)\ i^{10}+i^{8}-4i^{52}\Longrightarrow-1+1-4(1)=\boxed{4}$


$b)\ \dfrac{i^{20}\cdot{(i^2)^2}}{3i^{134}}\Longrightarrow\dfrac{1\cdot1}{3(-1)}=\boxed{-\dfrac{1}{3}}$