6.2 Homework Problems: Radical Expressions and Fractional Exponents
1. Convert the following expressions into radical form, do not solve
a. [latex]{\ 9}^\frac{1}{2}[/latex]
b. [latex]{\ 8}^\frac{1}{3}[/latex]
c. [latex]{\ 64}^\frac{2}{3}[/latex]
d. [latex]{\ 32}^\frac{3}{5}[/latex]
e. [latex]{\ 16}^\frac{3}{2}[/latex]
f. [latex]{\ 81}^\frac{3}{4}[/latex]
g. [latex]{\ x}^\frac{2}{5}[/latex]
h. [latex]{\ y}^\frac{1}{4}[/latex]
2. Convert the following into fractional exponent form, do not solve
a. [latex]\sqrt[3]{x^2}[/latex]
b. [latex]\sqrt[5]{y}[/latex]
c. [latex]\ \sqrt{t^3}[/latex]
d. [latex]\sqrt x[/latex]
3. Evaluate the following (if no solution write NaN)
a. [latex]{\ (-4)}^\frac{1}{2}[/latex]
b. [latex]{\ -64}^\frac{1}{3}[/latex]
c. [latex]{\ -(64)}^\frac{2}{3}[/latex]
d. [latex]{\ -16}^\frac{3}{4}[/latex]
e. [latex]{\ -16}^\frac{3}{2}[/latex]
f. [latex]{\ -(81)}^\frac{3}{4}[/latex]