Simplify cube root of x^6

Problem

√(3,x6)

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.

√(3,x6)=(x6)1/3

2. Apply the power of a power rule, which states that (am)n=a(m⋅n)

(x6)1/3=x(6⋅1/3)

3. Simplify the exponent by performing the multiplication.

x(6⋅1/3)=x6/3

4. Divide the numerator by the denominator to find the final exponent.

x6/3=x2

Final Answer

√(3,x6)=x2

Want more problems? Check here!