Negative exponents

This topic has expert replies
User avatar
Senior | Next Rank: 100 Posts
Posts: 32
Joined: Thu Feb 24, 2011 1:17 pm

Negative exponents

by diegocuenca » Sun Aug 14, 2011 3:34 pm
This is from a BTG practice question

Is x < y ?

(1) y = x^-3

(2) x < 0

2. Nothing about y, NS
1. I'm confused on this one, how would x look as a fraction? If it were x^-1 then it would be 1/x?
Image
Source: — Data Sufficiency |

User avatar
Master | Next Rank: 500 Posts
Posts: 312
Joined: Tue Aug 02, 2011 3:16 pm
Location: New York City
Thanked: 130 times
Followed by:33 members
GMAT Score:780

by gmatboost » Mon Aug 15, 2011 10:11 am
Not sure if this answers your q exactly but y = x^(-3) means y = 1/(x^3)

In your table you have ignored negative fraction x values like -1/2. It worked out okay since the question was x < y, but if the question had been x <= y you may have been in trouble.

x = -1/2 -> y = -8
x = -2 -> y = -1/8
Greg Michnikov, Founder of GMAT Boost

GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
It's a total of 20+ hours of expert instruction for an introductory price of just $10.
View sample questions and tips without signing up, or sign up now for full access.


Also, check out the most useful GMAT Math blog on the internet here.