Algebra Examples

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

Step 1

Combine using the product rule for radicals.

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

Step 2

Multiply $3^{2}$ by $3$ by adding the exponents.

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Step 2.1

Multiply $3^{2}$ by $3$ .

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Step 2.1.1

Raise $3$ to the power of $1$ .

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

Step 2.1.2

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

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

Step 2.2

Add $2$ and $1$ .

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

Step 3

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

$3$