Simplify cube root of x^15

Problem

√(3,x15)

Solution

1. Identify the radical expression as a power with a fractional exponent using the rule √(n,am)=am/n

2. Rewrite the expression by placing the power of the radicand over the index of the root.

√(3,x15)=x15/3

3. Simplify the fraction in the exponent by dividing 15 by 3.

15/3=5

Final Answer

√(3,x15)=x5

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