Exponent Practice Question

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sgraves: Senior | Next Rank: 100 Posts; Posts: 36; Joined: Mon Jul 06, 2015 5:27 pm

by sgraves » Sun Feb 07, 2016 12:03 pm

I'm having trouble seeing how to get to the correct solution on the above problem.

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Source: Beat The GMAT — Problem Solving | Sun Feb 07, 2016 12:03 pm

MartyMurray: Legendary Member; Posts: 2135; Joined: Mon Feb 03, 2014 9:26 amFollowed by: 140 members; Location: https://martymurraycoaching.com/; Thanked: 955 times; GMAT Score:800

by MartyMurray » Sun Feb 07, 2016 5:52 pm

On both the right side and the left side the numerator is 1.

So the denominators of the two sides have to match also.

How many 5's are included in the prime factors of the denominator on the right side?

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Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members; Location: East Bay all the way; Thanked: 625 times; GMAT Score:780

by Matt@VeritasPrep » Mon Feb 08, 2016 8:48 am

Since both sides should be the same, we start with

1/5áµ� * 1/2â�´â�¸ = 1/(2*10â�´â�·)

then we clean up:

1/(5áµ� * 2â�´â�¸) = 1/(2*10â�´â�·)

1/(5áµ� * 2â�´â�¸) = 1/(2*(2*5)â�´â�·)

1/(5áµ� * 2â�´â�¸) = 1/(2â�´â�¸ * 5â�´â�·)

so m = 47.

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