Emilie draws a circle with a diameter of 10 inches. Ethan draws a circle with a diameter that is half as long as the diameter of Emilie’s circle. How will the circumference of Ethan’s circle compare with the circumference of Emilie’s circle?
A.

The circumferences of the two circles will be the same.
B.

The circumference of Ethan's circle will be one-half the circumference of Emilie's circle.
C.

The circumference of Emilie's circle will be one-half the circumference of Ethan's circle.
D.

The circumference of Ethan's circle will be one-fourth the circumference of Emilie's circle.

B.

Step-by-step explanation:

Using the circumference formula, we can see that Emilie's circle is twice as big as Ethan's circle.

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:

step-by-step explanation: