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Name:_________________________________________ Period:__________
Unit 3—Rational Exponents and Radicals Test Review
SM 2
Simplify the following expressions. Your answers should contain only positive exponents.
1. 3 2 4
4 2a a r−
⋅ 2.
8
7 4
25
5
x y
x y 3. ( )
43 5
2x y
4.
8 5
9
2 5
30
n n
n
−⋅
5. ( )2
56x
−
Simplify each radical expression.
6. 120 7. 10 4
144x y
8. 5 2
3 56x y 9. 3 83 40x y
Rewrite each expression in radical form, then simplify if possible.
10.
1
281 11. ( )1
52 ab
Rewrite each expression using a rational exponent.
12. 4 7r 13.
39 x
Add or subtract. Simplify by combining like radical terms, if possible.
14. 3 11 11 10 11+ − 15. 7 28 63+ − 16. 2 45 9 3 3 20− +
Multiply and simplify.
17. ( )( )6 12 2 5− 18. ( )4 3 5 6+
19. ( )( )5 3 5 3+ − 20. ( )2
2 7−