The distance a body falls from rest varies as the square of the time the body is falling. If a body falls 64 ft. in two seconds, how far will it fall in seven seconds?

224 feet

Step-by-step explanation:

So because the body falls from rest at 64 feet in two seconds, we can divide that by two so that the body falls from rest at 32 feet in one second. Since we are talking about in seven seconds, multiply 32 by 7 which equals 224 feet which is your answer.

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: