8.2.1 Radical Expressions and Rational Exponents - Worksheet
Example 1: Find all real roots. 1. cube roots of 27
2. fourth roots of 625
3. cube roots of 0
Example 2: Simplify each expression. Assume that all variables are positive. 4. x 8 3 3 5. x 32 4 4 6. x 125 6 6 3
7.
3
x 50
9. x 4 5 3
x x 40 4
12 4
11. x y 3 4
8. x x 4 8 3 4 ⋅
10.
3 3 −
Example 3: Write each expression in radical form, and simplify. 12. 36 3 2 13. 32 3 5
2 3
1 3
14. ( 27) −
15. 8
Example 4: Write each expression by using rational exponents. 16. 9 5 10 17. 8 3
18. ( ) 5 6 3
2
19. (
)
27 3
209
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