Rules of Exponents Product Rules A Example: Same Base, Different Power 23 ⋅ 24 = 23+4 = 128 Different Base, Same Power 32 ⋅ 42 = (3⋅4)2 = 144 Instructions: Simplify each expression by writing it in expanded form, followed by standard form or as a single base to a single power To complete this task, you must earn 10 or more stars The problems in this section of the task are worth one star. a) 104 ⋅ 103 b) 52 ⋅42 c) 3 ⋅32 d) 23 ⋅13 e) 4-2 ⋅ 45 f) -62 ⋅ 32 The problems in this section of the task are worth two stars. 2 2 5 5 a) ( )-2 ⋅ ( )4 b) 2 ⋅22 ⋅ 22 c) 1 1 3 6 ( )4 ⋅ ( )4 1 d) 32 ⋅ ( )2 2 The problems in this section of the task are worth three stars. a) 2n4 ⋅5n4 b) 4x2 ⋅ 3x Rules of Exponents Quotient Rules A Example: Example: Same SameBase, Base,Different DifferentPower Power 5-3 235 / 243 = 23+4 =4 2 ⋅ 2 = 2 = 128 Different Base, Same Power Different Base, Same Power 3 3 3 4 / 2 = (4/2) = 8 Instructions: Simplify each expression by writing it in expanded form, followed by standard form or as a single base to a single power To complete this task, you must earn 10 or more stars The problems in this section of the task are worth one star. a) 104 / 103 b) 52 / 42 c) 32 /3 d) 23 / 13 e) 45 / 42 f) -62 / 32 The problems in this section of the task are worth two stars. 2 1 5 5 a) ( )4 / ( )1 d) 32 / ( )2 b) 26 / 22 1 1 3 6 c) ( )4 / ( )4 1 2 The problems in this section of the task are worth three stars. a) 2n4 / 5n4 b) 4x2 / 2x