Match each power of i with its multiplicative inverse. 1) i 2) i^2 3) i^3 4) i^4 each number has one of the following answers answers cannot be used more than once. answer 1) i answer 2) 1 answer 3) -i answer 4) -1

By definition we have to:
 In mathematics, the inverse multiplicative, reciprocal or inverse of a non-zero number x, is the number, denoted as 1/x or x -1, which multiplied by x gives 1.
 We have then:

 1) i
 The multiplicative inverse is:
 
 Rewriting we have:
 
 
 
 
 Answer 3) -i

 2) i^2
 The multiplicative inverse is:
 
 Rewriting we have:
 
 
 Answer 4) -1

 3) i^3
 The multiplicative inverse is:
 
 Rewriting we have:
 
 
 
 
 
 
 Answer 1) i

 4) i^4
 The multiplicative inverse is:
 
 Rewriting we have:
 
 
 
 
 Answer 2) 1