7.4 Rational Exponents

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7.4 Rational Exponents
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Fractional Exponents (Powers and Roots)
Power
Root
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• Quick Review Exponent Rules

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NEGATIVE EXPONENTRULE
Upstairs Downstairs A negative exponent means
its in the wrong place.
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PRODUCT OR POWERRULE
HAVE TO HAVE THESAME BASE
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QUOTIENT OF POWERRULE
HAVE TO HAVE THESAME BASE
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POWER OF POWERRULE
(x4)³
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POWER OF PRODUCTRULE
(2x4)5
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POWER OF A QUOTIENTRULE
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POWER OF QUOTIENT 2RULE
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RATIONAL EXPONENTRULE
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RADICAL TO EXPONENTRULE
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Lets put a few ideas together
Convert the decimal to a fraction
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EX - simplify
Need to Rationalize!
Remember We are ADDING exponents here what do
we need to add fractions?
How did we get to here???
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Lets Try Some
Hint convert to a fraction rather than a decimal!
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Lets Try Some