Question

what is the value of i to the power 87​

Answer 1

Step-by-step explanation:

we know that i^2 = -1

So i^4 = 1

87 = 4×21 +3

i^4×21 +3 = 1×i^3 = -i

Thanks....✌☺❤

Answer 2

$i^{87}=i^{4\cdot21+3}=(i^4)^{21}\cdot i^3=1^{21}\cdot (-i)=-i$