What is the general form of the equation of a circle with center at (a, b) and radius of length m

Step-by-step explanation:

The vertex form of an equation is and it has a center (h,k) and radius r which forms it. To write the general form, start with the vertex form and expand it out.

Here the center is (a,b) so h=a and k=b. Substitute these values with the radius r = m.

Expand out the exponents.

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: