Aboy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. how tall is a man who can cast a shadow that is 14 feet long? solve this problem by setting up a proportion. show your work.(p. 250, example 4)

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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: