Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Quiz for Lessons 6.1-6.2 - Page 427: 7

1.66

We know the following rule: $$(\sqrt[n] x)=x^{\frac{1}{n}}$$ Thus, we first convert any square root expression to a fraction, if necessary, before plugging it into the calculator. (One can plug it into the calculator without doing this, but it is harder.) Then, being sure to use parenthesis around the fraction in the exponent to make sure the order of operations is correct, we find that the calculator gives an answer of: $$x=\sqrt[6] {21}=1.66$$