I think I'm missing something in this complex number problem

  • #1
JR Sauerland
Gold Member
44
0
As you can see, it says that -110 (-1 to the tenth is just -1), multiplied by i, is somehow i. Everywhere I have looked, -1 times i is negative i, but this problem disagrees. Am I missing something?
 

Attachments

Answers and Replies

  • #2
22,089
3,293
##(-1)^{10} = 1##
 
  • Like
Likes aikismos
  • #3
JR Sauerland
Gold Member
44
0
##(-1)^{10} = 1##
But how? Every calculator or form I put it into says it is -1...? EDIT: If I put -110 in my graphic calculator, it brings back -1. If I do it as (-1)10, it says 1. Witchcraft! I am so confused .:nb)
1.PNG
2.PNG
 
  • #4
22,089
3,293
There is a difference between ##-1^{10}##, which is apparently what the calculators are doing and ##(-1)^{10}##.
 
  • #5
JR Sauerland
Gold Member
44
0
There is a difference between ##-1^{10}##, which is apparently what the calculators are doing and ##(-1)^{10}##.
What is the difference though?
 
  • #6
22,089
3,293
For example:

[tex](-1)^4 = (-1)\cdot (-1)\cdot (-1)\cdot (-1) = 1[/tex]

while

[tex]-1^4 = - (1\cdot 1\cdot 1\cdot 1) = -1[/tex]
 
  • Like
Likes JR Sauerland
  • #7
JR Sauerland
Gold Member
44
0
For example:

[tex](-1)^4 = (-1)\cdot (-1)\cdot (-1)\cdot (-1) = 1[/tex]

while

[tex]-1^4 = - (1\cdot 1\cdot 1\cdot 1) = -1[/tex]
That was perfect! Thank you so much!!
 
  • #8
12,389
6,150
Raising a power by convention has higher precedence over multiplication just as multiplication has a higher precedence over addition. Parentheses allow you to reorder the precedence of operations. These rules are especially good to know when you start programming.
 
  • Like
Likes JR Sauerland and aikismos
  • #9
pbuk
Science Advisor
Gold Member
1,904
744
JR you leep asking these questions that show that there are really basic things that you have not grasped. Your calculator does not give you the "right" answer because you do not know what buttons to press. If you do not know without even thinking about it that aný even power of -1 is equal to 1 then you cannot progress your studies. As you seem familiar with Khan Academy, can I suggest that you go RIGHT BACK TO THE BEGINNING and take every class?
 
Last edited:
  • Like
Likes Qwertywerty and micromass
  • #10
FactChecker
Science Advisor
Gold Member
5,986
2,301
Parentheses are your friends in programming. Use -(110) or (-1)10 to be sure what it is calculating exactly what you want it to.
 
  • Like
Likes jedishrfu

Related Threads on I think I'm missing something in this complex number problem

Replies
3
Views
865
Replies
13
Views
936
Replies
8
Views
863
  • Last Post
Replies
3
Views
1K
Replies
5
Views
17K
  • Last Post
Replies
3
Views
1K
Replies
1
Views
1K
  • Last Post
Replies
7
Views
2K
Replies
6
Views
622
Replies
8
Views
764
Top