+0  
 
0
108
2
avatar

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

Guest Apr 15, 2017
Sort: 

2+0 Answers

 #1
avatar
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
avatar
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

16 Online Users

avatar
avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details