Domain and Range Domain: Domain: Range: Range:

Base raised to an exponent Exponential Notation BaseExponent Base raised to an exponent

Exploration Evaluate the following without a calculator: 34 = 33 = 32 = 31 = Describe a pattern and find the answer for: 30 = 81 27 9 3 1

Anything to the zero power is one 1 Anything to the zero power is one Stress same base Can a equal zero? 4

Exploration Simplify: =

Product of a Power If you multiply powers having the same base, add the exponents. Stress same base 6

Example Simplify: =

Exploration Simplify: (x3)5= x15

Power of a Power To find a power of a power, multiply the exponents. Stress same base 9

Example Simplify: = 8s13t11

Exploration Simplify: (z2x)5= z10x5

If a base has a product, raise each factor to the power Power of a Product Stress same base If a base has a product, raise each factor to the power 12

Example Simplify: = -288x7y20

Complete the tables by finding the pattern Exploration 55 3125 54 625 53 125 52 25 51 5 50 1 5-1 5-2 5-3 5-4 1/32 1/16 1/8 ¼ ½ 1 Complete the tables by finding the pattern 2 1/5 4 1/25 1/125 8 1/625 16

A Negative Exponent A simplified expression has no negative exponents. Stress same base A simplified expression has no negative exponents. 15

Example Simplify:

Exploration Simplify: =

Quotient of a Power To find a quotient of a power, subtract the bottom exponent from the top if the bases are the same. Stress same base 18

Example Simplify:

Exploration Simplify:

Power of a Quotient Stress same base To find a power of a quotient, raise the denominator and numerator to the same power. 21

Example Simplify: