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What is the value of 5^3i^9
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What is the value of 5^3i^9

User Jzelar
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i=√(-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}

User Kishore Indraganti
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