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(-2)^2 = 4 but -2^2 = -4 why are there different answers?

 Oct 16, 2014

Best Answer 

 #1
avatar+23254 
+5

 -2^2 is evaluated as -(2^2)  =  -4  

The exponent is used before the negative sign is used; that is, find the value of 2^2, and then make your answer negative. The order of operations says to do the squaring first and then apply the negative.

In (-2)^2, the order of operation says that you do what's inside parentheses first (in other words, you turn the two into a negative two first) and then you square the answer.

So, be careful when using a calculator; if you want to square a negative 6, enter it as (-6)^2.

 Oct 16, 2014
 #1
avatar+23254 
+5
Best Answer

 -2^2 is evaluated as -(2^2)  =  -4  

The exponent is used before the negative sign is used; that is, find the value of 2^2, and then make your answer negative. The order of operations says to do the squaring first and then apply the negative.

In (-2)^2, the order of operation says that you do what's inside parentheses first (in other words, you turn the two into a negative two first) and then you square the answer.

So, be careful when using a calculator; if you want to square a negative 6, enter it as (-6)^2.

geno3141 Oct 16, 2014

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