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

$(3 x^{\frac{2}{3}}) (x^{\frac{1}{3}})$

Step 1

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

Move $x^{\frac{1}{3}}$ .

$3 (x^{\frac{1}{3}} x^{\frac{2}{3}})$

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

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

Combine the numerators over the common denominator.

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

Add $1$ and $2$ .

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

Divide $3$ by $3$ .

$3 x^{1}$

Step 2

Simplify $3 x^{1}$ .

$3 x$