SOLUTION: 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 expression.
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Question 448059: 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 expression. Please do not provide the formula, your example should contain numbers/letters.
When relating rational exponents to radicals, the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.
Example:
x^(2/3) {x to the two-thirds power}
= ³√x² {the cube root of x squared}
Example #2:
x^(1/2) {x to the one-half power}
= √x {the square root of x} www.algebrahouse.com
