Simplify 1/3* cube root of 81

$\frac{1}{3} \cdot \sqrt[3]{81}$

Step 1

Rewrite $81$ as $3^{3} \cdot 3$ .

Factor $27$ out of $81$ .

$\frac{1}{3} \cdot \sqrt[3]{27 (3)}$

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

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

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

Step 2

Pull terms out from under the radical.

$\frac{1}{3} \cdot (3 \sqrt[3]{3})$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $3 \sqrt[3]{3}$ .

$\frac{1}{3} \cdot (3 (\sqrt[3]{3}))$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \sqrt[3]{3})$

Rewrite the expression.

$\sqrt[3]{3}$

$\sqrt[3]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$

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