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−