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 December 30th, 2013, 01:11 PM #1 Newbie   Joined: Dec 2013 Posts: 22 Thanks: 2 Help with an exponent question Evening, Question: (10^-1 + 10^-2)^-1 I've tried this a couple different ways, I'm sure I'm missing something simple. I know the answer is 100/11. If somebody could explain/show me the process to get to the correct answer it would be greatly appreciated Thanks, ~Lena December 30th, 2013, 02:05 PM #2 Newbie   Joined: Dec 2013 Posts: 22 Thanks: 2 Re: Help with an exponent question Pretty sure I figured it out. If this isn't correct, please correct me Just in case others weren't sure: = 1 / (10^-1 + 10^-2)^1 = 1/1 � (1/10^1 + 1/10^2) = 1/1 � (1/10 + 1/100) = 1/1 � (11/100 + 1/100) = 1/1 � 11/100 = 1/1 X 100/11 = 100/11 Thanks. December 30th, 2013, 02:31 PM   #3
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Re: Help with an exponent question

Quote:
 Originally Posted by Kiphyl Pretty sure I figured it out. If this isn't correct, please correct me Just in case others weren't sure: = 1 / (10^-1 + 10^-2)^1 = 1/1 � (1/10^1 + 1/10^2) = 1/1 � (1/10 + 1/100) = 1/1 � (11/100 + 1/100) = 1/1 � 11/100 = 1/1 X 100/11 = 100/11 Thanks.
The 4th line above should read = 1/1 � (10/100 + 1/100) December 30th, 2013, 02:40 PM #4 Global Moderator   Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond Re: Help with an exponent question That's correct. Another way of doing it is December 30th, 2013, 03:59 PM #5 Newbie   Joined: Dec 2013 Posts: 22 Thanks: 2 Re: Help with an exponent question Thanks  December 30th, 2013, 11:09 PM #6 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2215 (10^-1 + 10^-2)^-1 = (.1 + .01)^-1 = .11^-1 = 100/11. Tags exponent, question 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 mrwolf Elementary Math 2 May 9th, 2013 03:33 AM daigo Algebra 8 July 14th, 2012 05:42 PM duncanrager Algebra 5 March 12th, 2011 05:23 PM xnarutox Algebra 8 October 7th, 2010 06:41 PM AA Duracell Number Theory 12 January 26th, 2009 01:48 PM

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