QUESTION 6 Solve the problem.
A 12-ft. board is cut into 2 pieces so that one plece is 8 feet longer than 3 times the shorter plece. If the shorter piece is x feet long, find the lengths of both
pieces by solving the equation x + (3x + 8) = 12.
O shorter plece: 6 ft; longer piece: 36 ft
shorter plece: 24 ft; longer piece: 44 ft
shorter piece: 28 ft; longer piece: 36 ft
O shorter piece: 1 ft; longer piece: 11 ft

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)

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