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Simplify the Rational Expression 5(5x1)1/3(x1)(5x1)2/3(5x1)2/3\frac { 5 ( 5 x - 1 ) ^ { 1 / 3 } - ( x - 1 ) ( 5 x - 1 ) ^ { - 2 / 3 } } { ( 5 x - 1 ) ^ { 2 / 3 } }

Question 187

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- 5(5x1) 1/3(x1) (5x1) 2/3(5x1) 2/3\frac { 5 ( 5 x - 1 ) ^ { 1 / 3 } - ( x - 1 ) ( 5 x - 1 ) ^ { - 2 / 3 } } { ( 5 x - 1 ) ^ { 2 / 3 } }


A) 24x4(5x+1) 4/3\frac { 24 x - 4 } { ( 5 x + 1 ) ^ { 4 / 3 } }

B) 24x+4(5x+1) 5/3\frac { 24 x + 4 } { ( 5 x + 1 ) ^ { 5 / 3 } }

C) 26x4(5x+1) 5/3\frac { 26 x - 4 } { ( 5 x + 1 ) ^ { 5 / 3 } }

D) 26x+4(5x+1) 4/3\frac { 26 x + 4 } { ( 5 x + 1 ) ^ { 4 / 3 } }

Correct Answer:

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