## Que: $$\frac{3^{\left(a+b\right)}}{3^{\left(a-2b\right)}}=?$$

##### This topic has expert replies
Elite Legendary Member
Posts: 3906
Joined: 24 Jul 2015
Location: Las Vegas, USA
Thanked: 19 times
Followed by:36 members

### Que: $$\frac{3^{\left(a+b\right)}}{3^{\left(a-2b\right)}}=?$$

by [email protected] Revolution » Sat May 15, 2021 9:31 pm

00:00

A

B

C

D

E

## Global Stats

Que: $$\frac{3^{\left(a+b\right)}}{3^{\left(a-2b\right)}}=?$$

(1) a = 4.
(2) 3b = 8. Math Revolution

The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and$60 for tutoring per hour and $390 only for Live Online. Email to : [email protected] Elite Legendary Member Posts: 3906 Joined: 24 Jul 2015 Location: Las Vegas, USA Thanked: 19 times Followed by:36 members ### Re: Que: $$\frac{3^{\left(a+b\right)}}{3^{\left(a-2b\right)}}=?$$ by [email protected] Revolution » Wed May 19, 2021 9:45 pm ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Solution: To save time and improve accuracy on DS questions in GMAT, learn and apply the Variable Approach. Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Visit https://www.mathrevolution.com/gmat/lesson for details. Second of the seven properties of exponents: $$\frac{a^m}{a^n}=a^{\left(m-n\right)}$$ Multiplication of the same base numbers with the same or different exponents = Addition of the exponents Visit https://www.mathrevolution.com/gmat/lesson for details. Now we will solve this DS question using the Variable Approach. Let’s apply the 3 steps suggested previously. Follow the first step of the Variable Approach by modifying and rechecking the original condition and the question. We have to find the value of $$\frac{3^{\left(a+b\right)}}{3^{\left(a-2b\right)}}$$ Second property of exponents: $$\frac{3^{\left(a+b\right)}}{3^{\left(a-2b\right)}}=3^{\left(a+b-\left(a-2b\right)\right)}=3^b$$ We have to find the value of 3b Condition (2) tells us that 3b = 8 => $$3^{3b}$$ = $$3^{8}$$ = 6,561 The answer is unique, so condition (2) alone is sufficient, according to CMT 2 - there must be one answer. Condition (1) tells us that a = 4 => Cannot determine the unique value of 3b The answer is not unique, so condition (1) alone is not sufficient, according to CMT 2 - there must be one answer. Condition (2) alone is sufficient. Therefore, B is the correct answer. Answer: B Math Revolution The World's Most "Complete" GMAT Math Course! Score an excellent Q49-51 just like 70% of our students. [Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions. [Course] Starting$79 for on-demand and $60 for tutoring per hour and$390 only for Live Online.
Email to : [email protected]

• Page 1 of 1