3 years ago

What is the value of 5^3i^9

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

$i=\sqrt{-1}\to i^2=-1\\\\5^3=5\cdot5\cdot5=125\\\\i^9=i^8\cdot i=(i^2)^4i=(-1)^4i=1i=i\\\\\boxed{5^3i^8=125i}$

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