Question

Efetue:
a)(2i)^2 + 4(2i)^3 / (2i)^20

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\dfrac{(2i)^2 + 4(2i)^3}{(2i)^{20}} = \dfrac{1 + 4(2i)}{(2i)^{18}}}$

$\mathsf{\dfrac{1 + 8i}{[\:(2i)^2\:]^{9}} = \dfrac{1 + 8i}{[\:(4i^2)\:]^{9}}}$

$\mathsf{\dfrac{1 + 8i}{[\:(4(-1))\:]^{9}} = \dfrac{1 + 8i}{(-4)^{9}}}$

$\boxed{\boxed{\mathsf{-\dfrac{1}{262.144} - \dfrac{1}{32.768}\:i}}}$