Question

me ayudan con fisica​

Answer 1

Respuesta:

Explicación:

a)  $i^{19} = i^{18} * i$

         = $(i^{2})^{9} * i$

         = $(-1)^{9} * i$

    $i^{19} = - i$

b)  $i^{22} = (i^{2})^{11}$ = $(-1)^{11} = -1$

c)  $i^{-10} = (i^{2})^{-5} = (-1)^{-5} = \frac{1}{(-1)^{5}} = -1$

d)  $i^{27} = i^{26} * i = (i^{2} )^{13}*i = (-1)^{13}*i = -i$

e)  $i^{11} = i^{10}*i = (i^{2})^{5}*i = (-1)^{5}*i = -i$

f)   $i^{-15} = i^{-14}*i^{-1} = (i^{2})^{-7}*(i)^{-1} =(-1)^{-7} * \frac{1}{i}$

            = - $\frac{1}{i}*\frac{i}{i}$

            $= - \frac{i}{i^{2} }$

           $= - \frac{i}{-1 } = i$