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

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

Step 1

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

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

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

Combine the numerators over the common denominator.

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

Add $1$ and $1$ .

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

Step 2

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

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

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

Combine the numerators over the common denominator.

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

Add $2$ and $1$ .

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

Divide $3$ by $3$ .

$x^{1}$

Step 3

Simplify $x^{1}$ .

$x$

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