Rectangle abcd with coordinates a(1, 1), b(4, 1), c(4, 2), and d(1, 2) dilates with respect to the origin to give rectangle a'b'c'd'. if a'b' = 6, what is the scale factor of the dilation?
a) 6
b) 3
c) 2
d) 1/2
e) 4

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:

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