Question

evaluate I ^ 28 + i^ 15​

Answer 1

Answer:

I"28 +I" 15

i"4)" 4+I"15

1+I" 3)"5

1+(-i)" 5

1+(-(I)"2(I)3)

1+(-1)(-i)

Step-by-step explanation:

this is the answer....

hope it helps

Answer 2

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

$\sf \implies {(i)}^{28} + {(i)}^{15} \\ \\ \sf \implies { ({i}^{2} )}^{14} + { ({i}^{2}) }^{7} \times i \\ \\ \sf \implies {( - 1)}^{14} + {( - 1)}^{7} \times i \\ \\ \sf \implies 1 + ( - 1) \times i \\ \\ \sf \implies 1 -i$

$\large \underline{ \underline{ \sf \: Remember : \: \: \: }}$

$\star \sf \: i = \sqrt{ - 1} \\ \\ \star \sf \: {(i)}^{2} = - 1$