Algebra Examples

$\sqrt[3]{x} \cdot \sqrt[3]{x^{2}}$

Step 1

Multiply $\sqrt[3]{x} \sqrt[3]{x^{2}}$ .

Tap for more steps...

Step 1.1

Combine using the product rule for radicals.

$\sqrt[3]{x \cdot x^{2}}$

Step 1.2

Multiply $x$ by $x^{2}$ by adding the exponents.

Tap for more steps...

Step 1.2.1

Multiply $x$ by $x^{2}$ .

Tap for more steps...

Step 1.2.1.1

Raise $x$ to the power of $1$ .

$\sqrt[3]{x^{1} x^{2}}$

Step 1.2.1.2

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

$\sqrt[3]{x^{1 + 2}}$

Step 1.2.2

Add $1$ and $2$ .

$\sqrt[3]{x^{3}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$x$