To remain a member of the Nickname Club, Nicole has to reduce the number of her official
nicknames from 4 to 2. Right now, she is known
as Tricky, Nicky, Coyote or Slim. Which answer
lists all her choices?
A. TN, TC, TS, NO, NS, OS
B. TN, TC, NC; NS, CT, OS
C. CS, CN, CT, SN, TN, TO
D. TN, TC, TS, NC, NS, CT

D

Step-by-step explanation:

has all possiblie nicknames she could have

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: