#1**0 **

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**0 **

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