Math 095 - Intermediate Algebra - Prairie State College

Objective 11: Convert expressions involving rational exponents to radical expressions and
vice versa.
29. Rewrite with rational exponents: ( 5√ xy 2 ) 15
(a) (xy 2 ) 3/5
(b) (x 5 y 2 ) 1/3
(c) (xy 2 ) 5
(d) (xy 2 ) 3
30. Rewrite in radical form: (9x 3 y 2 ) 7/4
7
(a) √ 9xy 4
4
(b) √ 9x 3 y 2
(c) ( 4√ 9x 3 y 2 ) 7
(d) ( 7√ 9x 3 y 2 ) 4
Objective 12: Simplify radical expressions where the radicand is a monomial.
31. Assuming x and y represent positive numbers, simplify the following expression.
√
4x2 y 6
(a) 2xy 3
(b) 16x 4 y 12
(c) 2x 2 y 6
(d) 2x 4 y 3
32. Simplify:
3√
5a8 b 6 c 4
(a) 5a 2 b 2 c 3√ a 2 c 4
(b) a 2 b 2 c 3√ 5a 2 c 4
(c) a 2 b 2 c 3√ 5a 2 c
(d) 5a 2 b 2 c 3√ a 2 c
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