Radical Expressions And Rational Exponents Worksheet By A.e.cary Page 6

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Math 95 Lecture Notes
Section 7.1: Radical Expressions and Rational Exponents
Example 9. Simplify each radical expression after first re-writing the expression in exponential form. List
each simplification in radical form.
5
11
20
33
(a)
x
(c) 5
x
5
4
(b)
3
(d)
x
x
A general approach to simplifying expressions with radicals and/or rational exponents:
Answers are considered fully simplified in both radical form and exponential form.
If you are given an expression in radical form, state your fully simplified answer in radical form.
You will probably use the rules of exponents in your work; make sure to convert back to radical
form in the end.
If you are given an expression in exponential form, state your fully simplified answer in
exponential form. Never leave negative exponents in your fully simplified answer.
Some problems do not ask you to fully simplify, but instead ask your to convert an expression
from one form to another. If this is the case, don’t make the problem more work than necessary!
Instructor: A.E.Cary
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