Rational Exponent Operations. Exponent Rules Copyright © 2013 Lynda Aguirre2

Rational Exponent Operations

Exponent Rules

Properties of RadicalsProperties of Radicals

Changing Rational Exponents to Radical Form

Splitting Property

Exponent Rule #1

Add the Exponents

To add or subtract fractionsyou need the same

denominators(bottoms)

To add or subtract fractionsyou need the same

denominators(bottoms)

See lesson: LCM

RationalForm

RadicalForm

Simplify the radical (see splitting property)

Exponent Rule #2

Multiply the Exponents

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 .

Exponent Rule #3

Subtract the Exponents

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

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

Exponent Rule #4

Negative Exponents: Move it!

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

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.

Practice Problems

More Exponent Rules with Rational Exponents

Rational Exponent Operations. Exponent Rules Copyright © 2013 Lynda Aguirre2

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