Write the Fraction in Simplest Form ( fourth root of 81)^3

${(\sqrt[4]{81})}^{3}$

Step 1

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

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

Step 2

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

$3^{3}$

Step 3

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

$27$

Related Questions