Positive Exponents: If is a real number and is a natural number, the nth power of :
Negative Exponents: For all real numbers , and all natural numbers , for which is a real number
th Root: If is a real number, and is a natural number for which
Rational Exponents: For all real number , and all positive integers and for which is a real number
Rules for Exponents For all integers and and all real numbers and :
Remark The above rules hold when and are rational numbers and and are positive real numbers.