**Objective 1: ** Simplify ex pressions with rational
exponents.

Simplify.

5. Is a negative
number ? Why?

6. For find

f (1000) .

**Objective 2: ** Converting between exp onential and
radical expressions .

Rewrite the exponential expression as a radical expression
and simplify .

Rewrite the radical expression as an exponential
expression and simplify.

**Objective 3: **Simplify radical expressions that are
roots of perfect powers .

Evaluate the fol lowing expressions for the given values of
the variables .

15. when x = 3 and y =
12 .

16. when x = 19 and y =
6 .

17. when x = 3 and y =
4 .

18. when x = 27 and y =
3.

Simplify the following radical expressions.