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 Calculus Calculus Math Forum

 November 1st, 2016, 06:51 PM #1 Member   Joined: Aug 2016 From: illinois Posts: 46 Thanks: 0 Exponent rules If you have a series with (4^k/(2^k+3^k)) can you raise the whole fraction to the kth power and have (4/2+3)^k as the new series? November 1st, 2016, 07:06 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390 no $(2^k + 3^k)\neq (2+3)^k$ Thanks from topsquark November 7th, 2016, 03:47 PM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 For example, taking k= 2, $\displaystyle \frac{4^2}{2^2+ 3^2}= \frac{16}{4+ 9}= \frac{16}{13}$ but $\displaystyle \left(\frac{4}{2+ 3}\right)^2= \left(\frac{4}{5}\right)^3= \frac{16}{25}$. Tags exponent, rules Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post xboxprot Advanced Statistics 0 December 6th, 2015 12:41 PM Iwishmath Elementary Math 2 May 25th, 2014 08:47 PM I've Got The ^ Algebra 2 November 22nd, 2013 05:18 AM warqzaka Algebra 4 July 4th, 2011 09:30 AM I've Got The ^ Calculus 2 December 31st, 1969 04:00 PM

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