8.2 Review Worksheet
8.2.1 Radical Expressions and Rational Exponents Find all real roots. 1. cube roots of − 64 2. fifth roots of 32
3. fourth roots of − 16
Simplify each expression. Assume that all variables are positive. 4. x x 9 3 3 3 2 ⋅ 5. x 250 6 3 6. x x 4 10 4 4
7.
x y 54 9 3 3 −
Write each expression in radical form, and simplify. 8. 64 1 2 9. ( 1000) 4 3 −
3 2
10. 6
Write each expression by using rational exponents. 11. 14 3 3 12. 8 5 4 ( ) −
13. 48 3
Simplify each expression. 14. (8 64) 2 3 ⋅
1 2
1 3
1 2
− 49 81
27 3
15. 2
17. 27 27 1 3
16.
18. The initial amount deposited in a savings account is $1000. The amount a in dollars in the account after t years can be represented by the function a t ( ) 1000 2 t 24 ( ) = . To the nearest dollar, what will the amount in the account be after 6 years?
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