Rational Exponents When an expression has a for a power, the exponent is called a rational exponent. Properties of Rational Exponents Property General Rule Example Product of Powers ⋅ = 113 52∙54=54 Power of a Power () = 2 (31)2 = 3 Power of a Product () = 111 (9)2 =92 ⋅2 ©Edmentum. Permission granted to copy for classroom use.

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.