9-18 Radicals and Exponents
Write each radical expression using exponents and each exponential expression using radicals.
|Radical expression||Exponential expression|
The radical expression equivalent to the exponential expression .
The relation between radical expression and exponential expression is as follows:
Definition of rational exponents: Let be a rational exponent in lowest terms where and n is always positive. Then . Note that if n is an even positive integer, then a must be greater than or equal to 0.
Also, for then .
The exponential expression .
In the given exponential expression, and .
Using the definition, , we have
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