Simplify cube root of 27* cube root of 729

$\sqrt[3]{27} \cdot \sqrt[3]{729}$

Step 1

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3}} \cdot \sqrt[3]{729}$

Step 2

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

$3 \cdot \sqrt[3]{729}$

Step 3

Rewrite $729$ as $9^{3}$ .

$3 \cdot \sqrt[3]{9^{3}}$

Step 4

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

$3 \cdot 9$

Step 5

Multiply $3$ by $9$ .

$27$