Questions about the world of GRE Math from other sources and general math related questions.
kucz.adam
Students
 
Posts: 4
Joined: Fri Oct 31, 2014 3:42 pm
 

Powers of Zero

by kucz.adam Sat Dec 13, 2014 12:15 pm

Given that anything to the power of 0 is 1, can you please confirm these statements (in case I see them on the GRE!):

(-x)^0=1
-x^0=-1

Thank you!
Videoorchard
Prospective Students
 
Posts: 48
Joined: Thu Mar 06, 2014 2:58 am
 

Re: Powers of Zero

by Videoorchard Sat Dec 13, 2014 12:36 pm

Sup Adam,

Greetings of the day.Look I am not a connoisseur in the exponents but anyway here's my take.

(-x)^0=1 and -x^0=-1 are different. here's why.

if x=2

1. (-2)^0 = 1

2. -2^0= -1

The reason,the answer is -1 in the second equation is because negative sign gets multiplied after doing the power operations. i.e 2^0=1..then multiply -ve sign. hence the result=-1.

You might wanna wait till tommy confirms it though! :)

Good Luck!
tommywallach
Manhattan Prep Staff
 
Posts: 1917
Joined: Thu Mar 31, 2011 11:18 am
 

Re: Powers of Zero

by tommywallach Tue Dec 16, 2014 5:37 pm

Video nailed this one on the head.

It bothers a lot of people (including me), but when you raise a number that has a negative sign but no parentheses to a power, the negative sign is applied after the exponent resolves.

-2^2 = -4

I know it's crazy and weird and horrible. But such is life.

-t