Objective - To simplify expressions involving exponents. 3 4 = = 81 Exponent Base Read, “Three to the fourth power.” Rewrite each power as repeated multiplication and evaluate. 1) 2) 3) 4)

7 units 3 Addition- One-Dimensional Growth + = + 4 = Multiplication- Two-Dimensional Growth “Three added to four” “Three times four”or“Three groups of four” ++= = 12 square units Exponents- Multi-Dimensional Growth “Three to the third power”“Three to the fourth power” (4) =

PowerVerbal PhraseMeaning “Seven to the 2nd power” “Seven squared” “Five to the 3rd power” “Five cubed” “Nine to the 4th power” “Two to the 5th power”

Perimeter of a Square Area of a Square Volume of a Cube P = s + s + s + s P = 4s 5 5 One Dimensional Two Dimensional Three Dimensional “Five Squared”“Five Cubed” 5 5 5

Simplify the following if x = 4. 1) 2) 3) 4) 5) 6)

Powers of Ten Simplify. 1) 2) 3) 4) 5) 6)