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LAWS OF EXPONENTS Mixed Review Name: ___________________________ Multiplication Rule: = Power Rule: = Quotient Rule: Part I: Find the value of the missing exponent. 1.) ? 3.) ? 5.) = ? = _______ 2.) _______ 4.) _______ 6.) ? ? ? _______ = _______ = _______ Part II. Simplify each expression. 1.) 3.) 5.) 3 2 2.) 5 3 4 4.) 6.) ⁷ Part III. Read each problem carefully and answer the question. SHOW YOUR WORK! 1.) The area of a rectangle can be represented by the expression24 8 , find the width of the rectangle. 2.) If , then what expression is equivalent to . If the length is ? 3.) The volume of a cube can be found using the formula , where s is the length of , what is the volume? the sides. If a cube has a side length of 2 4.) An interior designer is laying tile in a rectangular room that is feet long and feet wide. Write an expression for the number of tiles needed to cover the floor of the room. , a width of 2 and a height of 5 5.) A rectangular prism has a length of 4 What expression can be used to represent the volume of the rectangular prism? . represent a sequence of numbers in a code. By what number 6.) The terms 3 , 9 , 27 is each term being multiplied to find the next term? 7.) The volume of a rectangular prism can be represented by the expression 48 . If the length is 6 and the width is 4 , what is the height of the rectangular prism?