1. (2x + 3 ) ^ 1 / 2 = 4
2. ( 5x - 5 ) ^ 2 / 3 = 16
2. ( 5x - 5 ) ^ 2 / 3 = 16
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1. square both side of the equation
(2x + 3)^2/2 = 4^2
(2x + 3) = 16
subtract 3 from both sides
2x = 16 - 3 = 13
divide both sides by 2
x = 13/2 = 6 1/2
2. raise both sides of the equation by 3/2 (to transform the power on the left side to 6/6 which equals one)
5x - 5 = 16^3/2
take the square root of 16 (=4) and raise it to the 3rd power ....4^3 = 64
5x - 5 = 64
add 5 to both sides to get
5x = 69
divide both sides by 5
x = 69/5 or 13 4/5
(2x + 3)^2/2 = 4^2
(2x + 3) = 16
subtract 3 from both sides
2x = 16 - 3 = 13
divide both sides by 2
x = 13/2 = 6 1/2
2. raise both sides of the equation by 3/2 (to transform the power on the left side to 6/6 which equals one)
5x - 5 = 16^3/2
take the square root of 16 (=4) and raise it to the 3rd power ....4^3 = 64
5x - 5 = 64
add 5 to both sides to get
5x = 69
divide both sides by 5
x = 69/5 or 13 4/5