What is the reason for each step in the solution of the equation? 3+4x−3x=4 drag and drop the reasons into the boxes to correctly complete the table. 3+4x−3x=4 3+x=4 x=1 distributive property, subtraction property of equality, combine like terms, division property of equality, given

3 + 4x - 3x = 4      Given

3 + (4x - 3x) = 4

3 + x = 4      Combine like terms

3 - 3 + x = 4 - 3

x = 1       Subtraction Property of Equality

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: