
New Users Post up here and introduce yourself! 
 LinkBack  Thread Tools  Display Modes 
March 10th, 2016, 02:33 AM  #1 
Newbie Joined: Mar 2016 From: India Posts: 14 Thanks: 0  Fractional Exponents
Hi Experts Can you please help me to find Fractional exponents value For Eg: 2^1/3 Thank You in advance 
March 10th, 2016, 02:36 AM  #2 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics 
$\displaystyle 2^{1/3} = \sqrt[3]{2} \approx 1.26$

March 10th, 2016, 02:40 AM  #3 
Newbie Joined: Mar 2016 From: India Posts: 14 Thanks: 0  
March 10th, 2016, 02:47 AM  #4  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,770 Thanks: 626 Math Focus: Yet to find out.  Quote:
But if you really feel like fiddling around, then (for this case) you need to find a number that can be cubed (multiplied by itself 3 times) which will equal 2. EDIT: Remember to not post your questions in the New Users section! Welcome to MMF Please do not post math questions here Last edited by Joppy; March 10th, 2016 at 02:51 AM.  
March 10th, 2016, 03:18 AM  #5 
Newbie Joined: Mar 2016 From: India Posts: 14 Thanks: 0 
okay sir and Is there any possibility to solve with logarithms ?

March 10th, 2016, 03:23 AM  #6  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
1) Let f(x) = 2^(1/3)  x. f(x) is continuous and differentiable everywhere on R, and you know that, say, f(0) > 0 and f(2) < 0. By the intermediate value theorem, you know the root is on (0, 2), so you apply the bisection method or Newton's method. 2) Let f(x) = 2^x. Find an appropriate Taylor approximation, i.e. f(a) + f'(a)(xa) + f''(a)(xa)^2/2! + f'''(a)(xa)^3/3! + ... for x=1/3 and a = 0.  
March 10th, 2016, 03:25 AM  #7  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
And actually, my Taylor approximation suggestion has lots of ln 2s in it, so I guess it uses logarithms Last edited by 123qwerty; March 10th, 2016 at 03:27 AM.  
March 10th, 2016, 06:18 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,141 Thanks: 1003 
8^(1/3) = 2 : digging a hole where all is soft earth... 2^(1/3) = ~1.26 : digging hole where earth is crusty, and lots of stones 

Tags 
exponents, fractional 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Fractional exponents  shunya  Elementary Math  21  July 23rd, 2014 01:34 PM 
Fractional increase  Chikis  Algebra  27  February 21st, 2013 10:19 AM 
Test in a few hours! (fractional exponents)  boomer029  Algebra  2  January 12th, 2012 10:12 AM 
Problem in solution of MATLAB in "Fractional Exponents"  Pashaie  Math Software  2  January 9th, 2010 03:58 AM 
fractional exponents  andi7  Algebra  3  August 10th, 2009 03:56 PM 