Simplify (3^3)/( square root of 81)

$\frac{3^{3}}{\sqrt{81}}$

Step 1

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

$\frac{27}{\sqrt{81}}$

Step 2

Simplify the denominator.

Rewrite $81$ as $9^{2}$ .

$\frac{27}{\sqrt{9^{2}}}$

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

$\frac{27}{9}$

Step 3

Divide $27$ by $9$ .

$3$