GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2018, 04:17

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Author Message
TAGS:

### Hide Tags

Intern
Joined: 16 May 2017
Posts: 5

### Show Tags

22 Nov 2017, 13:10
Hey guys,

I´m still struggeling with party of the eponents topic. for example a=3^3+2^9and b=3^6+7^3. I´m not able to find a fast way to decide which one is the bigger one.

Next question is:

If a and b are integer numbers, ans 2^a*3b=12^4 what is the value of a+b?

Cheers
Intern
Joined: 01 Oct 2017
Posts: 7

### Show Tags

23 Nov 2017, 06:28
For the first case:
You should break down the 2^9 and 3^6. Bringing down to the smallest factor. You should start by remembering the power values for smaller numbers

Second question-

12^4 can be broken in 2^8 and 3^4

Hence a+b is 12.

For exponents prime factorization is the key.

Further if you’re facing confusion regarding when to multiply subtract or add powers you could always remember this trick of PMDSMA
Powers multiply
Division subtract

Hope it helps

Sent from my iPhone using GMAT Club Forum
Director
Joined: 30 Jan 2016
Posts: 751
Location: United States (MA)

### Show Tags

23 Nov 2017, 09:49
1
Hi!

Here is a great topic on exponents:

https://gmatclub.com/forum/exponents-an ... 74993.html
_________________

Non progredi est regredi

Display posts from previous: Sort by