Quick Exponents Question

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 103
Joined: Sat Jun 02, 2012 9:46 pm
Thanked: 1 times

Quick Exponents Question

by topspin360 » Thu Jan 02, 2014 9:22 pm
Hello,

Quick question on exponents:

I understand that (17^3)^4) = 17^12

But does 17^2^4 = 17^8? or 17^16? I ask because I just saw a second version being used in one of the answer explanations.

Thanks!

User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pm
Thanked: 448 times
Followed by:34 members
GMAT Score:650

by theCodeToGMAT » Thu Jan 02, 2014 9:40 pm
17^2^4 = 17^16 because 2^4 = 16
R A H U L

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Thu Jan 02, 2014 9:54 pm
I'd say that 17^2^4 is ambiguous notation similar to x/y/z
(17^2)^4 = 17^8
17^(2^4) = 17^16

The GMAT won't give you an ambiguous expression like 17^2^4

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image