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What Is the.value of 5^3i^9

What Is the.value of 5^3i^9
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What Is the.value of 5^3i^9

asked
User RDL
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8.3k points

2 Answers

7 votes

Answer:-125i

Explanation:

I got it right on the test.

answered
User FJam
by
8.3k points
1 vote

5^3=5\cdot5\cdot5=125\\\\i=√(-1)\to i^2=-1\\\\i^9=i^8+1=i^8\cdot i^1=-1\cdot i=-i\\\\5^3i^9=125(-i)=\boxed{-125i}
answered
User Casey
by
8.5k points
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