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

$\frac{x^{\frac{1}{3}} x^{\frac{2}{3}}}{x^{- 1}}$

Step 1

Multiply $x^{\frac{1}{3}}$ by $x^{\frac{2}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{\frac{1}{3} + \frac{2}{3}}}{x^{- 1}}$

Combine the numerators over the common denominator.

$\frac{x^{\frac{1 + 2}{3}}}{x^{- 1}}$

Add $1$ and $2$ .

$\frac{x^{\frac{3}{3}}}{x^{- 1}}$

Divide $3$ by $3$ .

$\frac{x^{1}}{x^{- 1}}$

Step 2

Simplify $x^{1}$ .

$\frac{x}{x^{- 1}}$

Step 3

Move $x^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x \cdot x$

Step 4

Multiply $x$ by $x$ .

$x^{2}$