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why does (-5)4= 625 while -54=-625

 Jan 25, 2022
 #1
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(-5)4  =  -5 x -5 x -5 x -5  =  625

 

-54  =  -(54)  =  -1 x (5 x 5 x 5 x 5)  =  -625

 Jan 25, 2022
 #2
avatar+2103 
0

adding onto geno, i'm going to explain the difference

 

negative number raised without parenthesis: you will calculate the expression WITHOUT including the negative (for example, if it was -5^4, do 5^4 first before adding the negative) and then add the negative sign to your answer. so, you would do 5*5*5*5*-1 to get -625

 

negative number raised with parenthesis: you will calculate the expression using -5*-5*-5*-5 to get 625.  

 

apologize that the explanation is kind of messy. feel free to let me know if you have any other questions or concerns :] 

 Jan 25, 2022

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