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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]

Unit 6.2 Homework Printable Copy

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