Simplify 6x^(1/3)*5x^(2/3)

$6 x^{\frac{1}{3}} \cdot 5 x^{\frac{2}{3}}$

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 5 x^{\frac{1}{3}} x^{\frac{2}{3}}$

Step 2

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

Move $x^{\frac{2}{3}}$ .

$6 \cdot 5 (x^{\frac{2}{3}} x^{\frac{1}{3}})$

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

$6 \cdot 5 x^{\frac{2}{3} + \frac{1}{3}}$

Combine the numerators over the common denominator.

$6 \cdot 5 x^{\frac{2 + 1}{3}}$

Add $2$ and $1$ .

$6 \cdot 5 x^{\frac{3}{3}}$

Divide $3$ by $3$ .

$6 \cdot 5 x^{1}$

Step 3

Simplify $6 \cdot 5 x^{1}$ .

$6 \cdot 5 x$

Step 4

Multiply $6$ by $5$ .

$30 x$