Chapter 6 - Radical Functions and Rational Exponents - 6-4 Rational Exponents - Practice and Problem-Solving Exercises - Page 386: 18

$3$

Recall the basic exponent property (pg. 360): $(ab)^n=a^nb^n$ Applying this property to the given expression gives: $=(3\cdot27)^{\frac{1}{4}}$ $=81^{\frac{1}{4}}$ Recall that $\sqrt[n]{x}=x^{\frac{1}{n}}$ Applying this property, to the expression above results to: $=\sqrt[4]{81}\\ =\sqrt[4]{3^4}$ $=3$