Construct proofs for the following more challenging problems, using any of the rules in units 7-9. (unit 7 is rules of inference, unit 8 is rules of replacement, unit 9 is proofs and indirect proofs). f. a = (~ bv(c• ~ (a = (d• f v(c = g) 1. a) ( b g )
k. d) ~(t z), s v~(d) ~ z), a = ~ (s·t), w ~w, e (tvw) 10 (a) ~ e)

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:

a

step-by-step explanation:

the answer is a

pi x^2

step-by-step explanation:

pi times x squared

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.