Solve sqrt[12]{81}=

$$\sqrt[ 12 ] { 81 } =$$

Evaluate

$$\sqrt[3]{3}\approx 1.44224957$$

Solution Steps

Rewrite 81 as 3^{4}.

$$\sqrt[12]{3^{4}}$$

Convert from radical to exponential form.

$$\left(3^{4}\right)^{\frac{1}{12}}$$

To raise a power to another power, multiply the exponents.

$$3^{\frac{4}{12}}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$3^{\frac{1}{3}}$$

Convert from exponential to radical form.

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