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7.3 rational exponents
 nth roots can be written using
rational exponents.
 For example:
 In general, for any
integer n greater than 1.
7.3 rational exponents
7.3 rational exponents
 Not always of the form 1/n.


 The denominator of the exponent is
the index of the radical!
рThe bottom goes in the crack!
7.3 rational exponents
 Write in radical form:
7.3 rational exponents
 Write in exponential form:
 Rewrite in radical form first.
 Evaluate the radical.
 Raise to the power.
 Example:
 93/2
 Evaluate.
 32-2/5
 642/3
 Evaluate:
 493/2
 16-3/4
 Rewrite in radical form first.
 Simplify the radical part.
 Raise everything to the power.
 Example:
 (36x4)3/2
 Evaluate.
 (a8)-3/4
 (216b9)5/3
 Evaluate:
 (9x4)-5/2
 (16y4)3/4

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7.3 rational exponents