Order from least to greatest by using

Question

Order from least to greatest by using <: -3^2; 3^2; -3^-2; 3^-2

Thanks :)

gorv · Answer

negative less than positive

gorv · Answer

-3^2 and -3^-2 are minimum
and 3^2 and 3^-2 will be max

gorv · Answer

now we have to arrange in order

gorv · Answer

if power is negative than take reciprocal or revese the number 
like  x^-2=1/x^2

gorv · Answer

can u do it now ??

triciaal · Answer

one approach is to find the value of each and place on the number line 
(-3)^2 = (-3)(-3) = 
(3)^2 =(3)(3) = 
(-3)^-2 = (-3)^0(-3)^-2 =1/(-3)^2=1/(-3)(-3)=
(3)^-2 = 1/(3)(3) =

triciaal · Answer

was that all of the question?

mathstudent55 · Answer

@ButterflyHope 
Did you get an answer to this question?

butterflyhope · Answer

Yes sorry, thanks @triciaal  and @gorv

mathstudent55 · Answer

Here are the numbers in the order you listed them:

$-3^2 = -(3^2) = - 9$

$3^2 = 9$

$-3^{-2} = -(3^{-2}) = - \dfrac{1}{3^2} = - \dfrac{1}{9} $

$3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}$

The order is:

$-3^2 \lt -3^{-2} \lt 3^{-2} \lt 3^2$