Davis used a drawing and a scale factor of 4 to design his triangular yard. the area of the yard is 400 ft². he wants to find the area of the scale drawing.

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davis knows that the original area times the square of the scale factor will equal the enlarged area. what is the area of the scale drawing?

(scale drawing)(scale factor)2 = enlarged area

(x)(4)2 = 400

16x = 400

x =

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:

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step-by-step explanation: