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Rational Exponent Operations
Exponent Rules
Copyright © 2013 Lynda Aguirre 2
Properties of RadicalsProperties of Radicals
Changing Rational Exponents to Radical Form
Splitting Property
Copyright © 2013 Lynda Aguirre 3
Exponent Rule #1
Add the Exponents
Copyright © 2013 Lynda Aguirre 4
To add or subtract fractionsyou need the same
denominators(bottoms)
Copyright © 2013 Lynda Aguirre 5
To add or subtract fractionsyou need the same
denominators(bottoms)
See lesson: LCM
RationalForm
RadicalForm
Simplify the radical (see splitting property)
Copyright © 2013 Lynda Aguirre 6
Exponent Rule #2
Multiply the Exponents
Copyright © 2013 Lynda Aguirre 7
To multiply fractionsMultiply straight across
(tops, then bottoms)
RationalForm
RadicalForm
Read the instructions to see whether the answer should be in
Rational Form or Radical Form .
Copyright © 2013 Lynda Aguirre 8
Exponent Rule #3
Subtract the Exponents
Copyright © 2013 Lynda Aguirre 9
To subtract fractionsYou must have common
denominators (The same number on the bottom)
RationalForm
RadicalForm
Read the instructions to see whether the answer should be in
Rational Form or Radical Form .
Note: Always check to see if you can reduce the fractions and simplify radicals
Copyright © 2013 Lynda Aguirre 10
To subtract fractionsYou must have common
denominators (The same number on the bottom)
RationalForm
RadicalForm
Note: Always check to see if you can reduce the fractions and simplify radicals
Copyright © 2013 Lynda Aguirre 11
Exponent Rule #4
Negative Exponents: Move it!
OR
Copyright © 2013 Lynda Aguirre 12
PARKING TICKET: This term is in the wrong parking place. Move
it and remove the ticket (the negative sign)
1) Write as a fraction
RationalForm
RadicalForm
3) Remove the negative power
Simplify the radical: splitting property
Copyright © 2013 Lynda Aguirre 13
PARKING TICKET: This term is in the wrong parking place. Move
it and remove the ticket (the negative sign)
RationalForm
RadicalForm
2) Remove the negative power
Simplify the radical: splitting property
1) Move negative term to the top.
Copyright © 2013 Lynda Aguirre 14
Practice Problems
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Practice Problems
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Practice Problems
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Practice Problems
Copyright © 2013 Lynda Aguirre 18
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