Solve 2x^(1/3)(x^(2/3) x^(-1/3))

Evaluate

2 x^{\frac{1}{3}} (x^{\frac{2}{3}} \times x^{- \frac{1}{3}})

To find the roots of the expression,set the expression equal to 0

2 x^{\frac{1}{3}} (x^{\frac{2}{3}} \times x^{- \frac{1}{3}}) = 0

Find the domain

2 x^{\frac{1}{3}} (x^{\frac{2}{3}} \times x^{- \frac{1}{3}}) = 0, x \neq = 0

Calculate

2 x^{\frac{1}{3}} (x^{\frac{2}{3}} \times x^{- \frac{1}{3}}) = 0

Multiply the terms

More Steps

2 x^{\frac{1}{3}} \times x^{\frac{1}{3}} = 0

Multiply

More Steps

2 x^{\frac{2}{3}} = 0

Rewrite the expression

x^{\frac{2}{3}} = 0

The only way a power can be 0 is when the base equals 0

x = 0

Check if the solution is in the defined range

x = 0, x \neq = 0

Solution

x \in \emptyset

Simplify the expression