I have a hard time understanding why my answer is wrong. I keep getting 9 (wrong answer) instead of 3 (correct answer).
This is a problem solving question from a practice GMAT prep practice test.
Please help!
(8^2)(3^3)(2^4)/96^2=
a) 3
b) 6
c) 9
d) 12
e) 18
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Dividing with exponents
This topic has expert replies
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
(8²)(3³)(2�)/96²rerika01 wrote:I have a hard time understanding why my answer is wrong. I keep getting 9 (wrong answer) instead of 3 (correct answer).
This is a problem solving question from a practice GMAT prep practice test.
Please help!
(8^2)(3^3)(2^4)/96^2=
a) 3
b) 6
c) 9
d) 12
e) 18
= ((2³)² * 3³ * 2�)/(2� * 3)²
=(2� * 3³ * 2�)/(2¹� * 3²)
= (2¹� * 3³)/(2¹� * 3²)
= 3.
The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
Night reader
- Legendary Member
- Posts: 1337
- Joined: Sat Dec 27, 2008 6:29 pm
- Thanked: 127 times
- Followed by:10 members
Hi rerika, there two ways how to approach this problem - to beat the pot 
or to perform prime factorization of the denominator 96= 2^5 * 3. Now rewriting (8^2)(3^3)(2^4)/(2^5 *3)^2; since 8 is 2^3 --> (2^6)(3^3)(2^4)/(2^10 *3^2) = 3^3/3^2 = 3
or to perform prime factorization of the denominator 96= 2^5 * 3. Now rewriting (8^2)(3^3)(2^4)/(2^5 *3)^2; since 8 is 2^3 --> (2^6)(3^3)(2^4)/(2^10 *3^2) = 3^3/3^2 = 3
rerika01 wrote:I have a hard time understanding why my answer is wrong. I keep getting 9 (wrong answer) instead of 3 (correct answer).
This is a problem solving question from a practice GMAT prep practice test.
Please help!
(8^2)(3^3)(2^4)/96^2=
a) 3
b) 6
c) 9
d) 12
e) 18
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
