What is the greatest possible error when measuring to the nearest quarter of an inch?

The greatest possible error in a measurement is half of the measuring unit.

For example, what is the greatest possible error for 8 cm?

8 cm was measured to the nearest 1 cm, so the measuring unit is 1 cm.  The greatest possible error is 0.5 times 1 or 0.5 cm.

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:

won't that be plagrisim thought?

step-by-step explanation: