Rational Exponents Algebra 2 2015-2016. Fractional Exponents (Powers and Roots) “Exponent of the Radicand” “Index”

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Presentation transcript:

Rational Exponents Algebra

Fractional Exponents (Powers and Roots) “Exponent of the Radicand” “Index”

Rewrite and Simplify:

Radical Expressions are simplified when… 1.There are NO negative exponents. 2.There are NO fractional exponents in denominator. WHY??? NO RADICALS IN DENOMINATOR!!! 3. There are NO complex fractions. 4. The index of any radical is the least possible number.

Quick Review – Exponent Rules

NEGATIVE EXPONENT RULE Upstairs – Downstairs: A negative exponent means it’s in the wrong place.

PRODUCT OR POWER RULE HAVE TO HAVE THE SAME BASE

QUOTIENT OF POWER RULE HAVE TO HAVE THE SAME BASE

POWER OF POWER RULE ( x 4 )³

POWER OF PRODUCT RULE ( 2x 4 ) ⁵

POWER OF QUOTIENT RULE

RATIONAL EXPONENT RULE

RADICAL TO EXPONENT RULE

Let’s Try Some