Nth roots can be expressed using rational exponents, where the denominator of the exponent is the index of the radical. To evaluate expressions with rational exponents, one should rewrite them in radical form, evaluate the radical, and then raise the expression to the power indicated by the original exponent. Examples are provided of evaluating various expressions with rational exponents.
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7.3 rational exponents
2. nth roots can be written using
rational exponents.
For example:
In general, for any
integer n greater than 1.
5. Not always of the form 1/n.
The denominator of the exponent is
the index of the radical!
рThe bottom goes in the crack!