Simplify fourth root of 27* fourth root of 3

$\sqrt[4]{27} \cdot \sqrt[4]{3}$

Combine using the product rule for radicals.

$\sqrt[4]{27 \cdot 3}$

Write the expression using exponents.

Multiply $27$ by $3$ .

$\sqrt[4]{81}$

Rewrite $81$ as $3^{4}$ .

$\sqrt[4]{3^{4}}$

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

$3$