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

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

Move $3^{- \frac{2}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$3^{\frac{1}{3}} \cdot 3^{\frac{2}{3}}$

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

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

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

Combine the numerators over the common denominator.

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

Add $1$ and $2$ .

$3^{\frac{3}{3}}$

Divide $3$ by $3$ .

$3^{1}$

Simplify $3^{1}$ .

$3$