Exponents Exponents mean repeated multiplication 2 3 = 2  2  2 Base Exponent Power

Properties of Exponents Multiplication Property of Exponents Keep the base the same and add the exponents Division Property of Exponents Keep the base the same and subtract the exponents b m ·b n = b m+n

Properties of Exponents Negative Exponents 1)Write the reciprocal 2)Change exponent to positive Zero Exponents Any number to the zero power is 1 b 0 = 1

Always Look on the Bright Side of Life… When you simplify an algebraic expression involving exponents, all the exponents must be POSITIVE. Negative exponents in the numerator need to go in the denominator

Exercise 1 Practice simplifying expressions. 1. x 2 x 5 2.(-8)(-8) a 3 a 7

Exercise 2 Use the division property of exponents to rewrite each expression with a single exponent.

Exercise 3 Simplify the expression w 5 w -8 w