4 minutes Warm-Up Simplify 1) 2) 3) 4)

4.1 Exponents Objectives: To multiply numbers in exponential form To divide numbers in exponential form To simplify expressions with negative exponents

Multiplying Powers with Like Bases For any rational number a, and for all whole numbers m and n,

Example 1 Simplify. Express using exponents. a) b) c) d)

Practice Simplify. Express using exponents. a) b) c) d)

Dividing Powers with Like Bases For any rational number a except 0, and for all whole numbers m and n,

Example 2 Simplify. Express using exponents. a) b) c)

Practice Simplify. Express using exponents. a) b) c)

Negative Exponents For any rational number a except 0, and for all whole numbers m and n,

Example 3 Express using positive exponents. a) b) c) d)

Practice Express using exponents. 1) 2) 3)

The Exponent Zero a0 = 1 for any rational number a except 0.

Example 4 Simplify. a) b) c) d)

Practice Simplify. 1) 2) 3)