Which equation could represent "the perimeter of a square as a function of a side"? p(x) = (1/4)(x) p(x) = 4x p(x) = 4 + x

Perimeter is the distance around a two-dimensional shape (it is the sum of the length of the sides), in our case the shape is square. A square has 4 equal sides. So, the perimeter is: p(x)=x+x+x+x= 4x

The equation that  represent "the perimeter of a square as a function of a side" is:

p(x) = 4x

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: