GMAT practice test PS problem

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bronzie35: Junior | Next Rank: 30 Posts; Posts: 18; Joined: Fri Apr 03, 2009 3:33 pm

by bronzie35 » Mon Apr 13, 2009 9:26 am

Thank you in advance for explaining the problem below.

If (1/5)^m times (1/4)^18 = 1/2(10)^35, then m = ?

a. 17
b. 18
c. 34
d. 35
e. 36

Thank you!

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Source: Beat The GMAT — Problem Solving | Mon Apr 13, 2009 9:26 am

rossmj: Senior | Next Rank: 100 Posts; Posts: 60; Joined: Thu Feb 26, 2009 12:50 pm; Location: Chicago; Thanked: 3 times

by rossmj » Mon Apr 13, 2009 9:50 am

((1/5)^m)*((1/4)^18)=1/(2(10)^35)

1/(5^m)(2^36)=1/(2(2^35)(5^35)

1/(5^m)(2^36)=1/(2^36)(5^35)

2^36 cancels out

1/5^m=1/5^35

Same base means you can drop it

m=35

Review exponent rules and recognize factors and this problem will look much easier

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bronzie35: Junior | Next Rank: 30 Posts; Posts: 18; Joined: Fri Apr 03, 2009 3:33 pm

by bronzie35 » Mon Apr 13, 2009 12:02 pm

Thanks rossmj. It certainly looks easy now. Thanks.

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