The Value of n (GMAT Prep)

This topic has expert replies
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sat Jun 30, 2012 12:53 am
alex.gellatly wrote:If 5^21 * 4^11 = 2*10^n, what is the value of n?
4^11 = 2^22 = 2*(2^21)

(5^21)*(4^11) = (5^21)*2*(2^21) = 2*(2*5)^21 = 2*(10^21)

Hence, n = 21

The correct answer is B.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/