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Rational Exponents and Radical Expressions

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What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical, using the following as an example:

(-25)^13

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Solution Preview

A rational exponent is a fractional exponent. Some examples are given below:

2^1/2, 5^1/3, 10^2/3, 100^1/2, 1000^1/3.

Rational exponents are ...

Solution Summary

We explain the relationship between rational exponents and radical expressions and present some examples.

$2.19