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What is the difference between (-5)squared and -5squared

 Aug 20, 2015

Best Answer 

 #1
avatar+128474 
+5

(-5)^2  == (-1)*(5)*(-1)*(5) =  (-5)*(-5)  = 25

 

But

 

-5^2  = -1(5)^2  = -1*(5)*(5)  = -25  !!!!

 

This is a common error...in the first case the exponent applies to the "understood" -1 in front of the "5"....in the second case, the exponent only applies to the 5 itself, not to the "understood" -1....be careful, here  !!!

 

 

 Aug 20, 2015
 #1
avatar+128474 
+5
Best Answer

(-5)^2  == (-1)*(5)*(-1)*(5) =  (-5)*(-5)  = 25

 

But

 

-5^2  = -1(5)^2  = -1*(5)*(5)  = -25  !!!!

 

This is a common error...in the first case the exponent applies to the "understood" -1 in front of the "5"....in the second case, the exponent only applies to the 5 itself, not to the "understood" -1....be careful, here  !!!

 

 

CPhill Aug 20, 2015

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