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trying to solve n to the 5/3 power =3125

Guest Apr 15, 2017
 #1
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if n^(5/3)  = 3125  then

n = 3125 ^(3/5)         which means you take the   fifth root of 3125  (which is 5 ) and then cube it  to get

n= 125.

Guest Apr 15, 2017
 #2
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trying to solve n to the 5/3 power =3125. 

 

Solve for n:
(n^5)^(1/3) = 3125

Raise both sides to the power of three:
n^5 = 30517578125

Taking 5^th roots gives 125 times the 5^th roots of unity:
Answer: | n = 125     or n = -125 (-1)^(1/5)       or n = 125 (-1)^(2/5)     or n = -125 (-1)^(3/5)       or n = 125 (-1)^(4/5)

Guest Apr 15, 2017

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