My Math Forum Simplify this expression

 Algebra Pre-Algebra and Basic Algebra Math Forum

 March 13th, 2011, 10:32 PM #1 Newbie   Joined: Apr 2010 Posts: 24 Thanks: 0 Simplify this expression (5^3n . 16^n / 50^2n . 4^-n) / (125/16)^n Sorry if it is confusing to read, but how is this simplified? If someone could help that would be great?
 March 14th, 2011, 08:24 AM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: Simplify this expression (5^3n . 16^n / 50^2n . 4^-n) / (125/16)^n $\frac{\frac{5^{3n}\,\cdot\,16^n}{50^{2n}\,\cdot\,4 ^{-n}}}{$$\frac{125}{16}$$^n}\,=\,\frac{5^{3n}\cdot 16^n}{50^{2n}\cdot 4^{-n}}\,\cdot\,\frac{16^n}{125^n}\,=\,\frac{125^n\cdo t 4^{2n}}{50^{2n}\cdot4^{-n}}\,\cdot\,\frac{16^n}{125^n}\,=\,\frac{4^{2n}}{5 0^{2n}\cdot4^{-n}}\,\cdot\,16^n$ $=\,\frac{4^{3n}}{50^{2n}}\cdot 4^{2n}\,=\,\frac{4^{5n}}{50^{2n}}$
 March 14th, 2011, 08:26 AM #3 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Simplify this expression Could we cancel $2^{2n}$ to simplify further? Unless $2^{2n}= 0$ ?!!!!!!!!!!?!?! (Insert Twilight Zone music here) Ok... now I'm more curious about how to get my math and English to be "co-linear". Changing fort size didn't help
March 14th, 2011, 08:40 AM   #4
Global Moderator

Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,958
Thanks: 1146

Math Focus: Elementary mathematics and beyond
Re: Simplify this expression

Quote:
 Originally Posted by The Chaz Could we cancel $2^{2n}$ to simplify further?
Ok. $\frac{4^{5n}}{50^{2n}}\,=\,\frac{2^{8n}}{25^{2n}}.$

 March 14th, 2011, 08:48 AM #5 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Simplify this expression Of course, "simple" is in the eye of the pi-holder. I appreciate the rogue (elementary) algebra teacher who will let the students leave radicals in the denominator.

 Tags expression, simplify

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Zyous Applied Math 8 March 12th, 2014 05:55 AM daigo Algebra 4 July 15th, 2012 12:55 AM kevpb Algebra 2 May 23rd, 2012 05:06 PM jaredbeach Algebra 2 September 2nd, 2011 09:00 AM jaredbeach Calculus 1 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top