1. 7.9 Negative Exponents Objective: To use negative exponents. Warm – up: Simplify. 1)2)3) Evaluate. 4) 5 0 5) 6) 7)

2. 7.9 Negative Exponents The Rules YOU NEED to Know Product of Powers o a m ∙a n = a m+n Power of a Power o (a m ) n = a m∙n Power of a Product o (ab) m = a m b m Quotient of Powers o Power of a Quotient o Some New Rules Negative Exponent o o If a is a non-zero number and n is a positive integer, move the negative exponent to “make it happy”. Zero Exponent o a 0 = 1 o Any value to the 0 th power equals 1 except 0. o 0 0 has no meaning.

3. 7.9 Negative Exponents Simplify. o 4 -3 o (12 -1 ) -2 o (4∙3) -2 o o o

4. 7.9 Negative Exponents Simplify. o o o o o o

5. 7.9 Negative Exponents Simplify. Give the answer using all positive exponents. o o o o Homework: – Worksheet