easy question. please help

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tiffanylayton: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Wed Sep 24, 2008 7:07 pm; Location: East Coast

by tiffanylayton » Thu Sep 25, 2008 8:46 am

what is the best way to simplify this:

8 squared x 3 cubed x 2 to the fourth

all divided by / 96 squared

Thanks!

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Source: Beat The GMAT — Problem Solving | Thu Sep 25, 2008 8:46 am

mayur00: Senior | Next Rank: 100 Posts; Posts: 35; Joined: Mon Jun 23, 2008 1:41 pm; Thanked: 2 times

by mayur00 » Thu Sep 25, 2008 8:58 am

convert everything to powers of 2 and 3

so the expression becomes:(2^6x3^3x2^4)/(2^10x3) which simplifies to 3^2 or 9

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rabab: Master | Next Rank: 500 Posts; Posts: 132; Joined: Fri Sep 05, 2008 10:19 pm; Location: Bangladesh; Thanked: 1 times

by rabab » Thu Sep 25, 2008 9:12 am

It's pretty simple.

8^2 x 3^3 x 2^4 = 2^6 * 2^4* 3^3 = 2^10 * 3^3 -- i
and 96^2 = (2^5 * 3) whole sq.--- ii

dividing i by ii

2^ 10 * 3^3
--------------- = 3^1 = 3
2^10 * 3^2

Hope it helps.

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