Algebra Examples

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

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

Step 1

Multiply

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

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

x^{\frac{2}{3}}

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

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Step 1.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

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

Step 1.2

Combine the numerators over the common denominator.

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

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

Step 1.3

Add

1

$1$ and

2

$2$ .

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

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

Step 1.4

Divide

3

$3$ by

3

$3$ .

x^{1}

$x^{1}$

x^{1}

$x^{1}$

Step 2

Simplify

x^{1}

$x^{1}$ .

x

$x$