Rational Exponent Operations Exponent Rules Copyright 2013 Lynda
- Slides: 19
Rational Exponent Operations
Exponent Rules Copyright © 2013 Lynda Aguirre 2
Properties of Radicals Splitting Property Changing Rational Exponents to Radical Form Copyright © 2013 Lynda Aguirre 3
Exponent Rule #1 Add the Exponents Copyright © 2013 Lynda Aguirre 4
To add or subtract fractions you need the same denominators(bottoms) Copyright © 2013 Lynda Aguirre 5
To add or subtract fractions you need the same denominators(bottoms) See lesson: LCM Rational Form Simplify the radical (see splitting property) Radical Form Copyright © 2013 Lynda Aguirre 6
Exponent Rule #2 Multiply the Exponents Copyright © 2013 Lynda Aguirre 7
To multiply fractions Multiply straight across (tops, then bottoms) Rational Form Radical Form 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 fractions You must have common denominators (The same number on the bottom) Rational Form Radical Form 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 fractions You must have common denominators (The same number on the bottom) Rational Form Radical Form Note: Always check to see if you can reduce the fractions and simplify radicals Copyright © 2013 Lynda Aguirre 11
Exponent Rule #4 OR Negative Exponents: Move it! 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 Rational Form 3) Remove the negative power Simplify the radical: splitting property Copyright © 2013 Lynda Aguirre Radical Form 13
PARKING TICKET: This term is in the wrong parking place. Move it and remove the ticket (the negative sign) 1) Move negative term to the top. 2) Remove the negative power Rational Form Simplify the radical: splitting property Radical Form Copyright © 2013 Lynda Aguirre 14
Practice Problems Copyright © 2013 Lynda Aguirre 15
Practice Problems Copyright © 2013 Lynda Aguirre 16
Practice Problems Copyright © 2013 Lynda Aguirre 17
Practice Problems Copyright © 2013 Lynda Aguirre 18
More Exponent Rules with Rational Exponents
- Radicand
- Simplify rational exponents
- Solving equations using nth roots
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- Integer exponent rules
- Powers of 10 jeopardy
- Percent jeopardy
- Properties of log
- Indices
- Exponent rules
- Exponent rules
- Exponentialfunktion negativer exponent
- F
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