Simplify sixth root of x^3

Problem

√(6,x3)

Solution

1. Rewrite the radical expression using a fractional exponent, where the index of the root becomes the denominator and the power of the radicand becomes the numerator.

√(6,x3)=x3/6

2. Simplify the fraction in the exponent by dividing both the numerator and the denominator by their greatest common divisor, which is 3

3/6=1/2

3. Convert the simplified exponential expression back into radical form, noting that an exponent of 1/2 represents a square root.

x1/2=√(,x)

Final Answer

√(6,x3)=√(,x)

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