The blueprint for Jessica’s new room has a scale that states every ½ inch is equal to 15 inches. If this blueprint shows the length of her new room to be 3 inches, what will be the actual length of her new room?

Her room is 90 inches.

Step-by-step explanation:

1/2 x 6 = 3

If we multiply 1/2 by 6, then we must do the same to 15.

15 x 6 = 90.

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: