Domain and Range Domain Range Exponential Notation Base
Domain and Range Domain: Range:
Exponential Notation Base Exponent Base raised to an exponent
Exploration Evaluate the following without a calculator: 34 = 81 33 = 27 32 = 9 31 = 3 Describe a pattern and find the answer for: 30 = 1
Zero Power 0 a =1 Anything to the zero power is one Can a equal zero?
Exploration Simplify: =
Product of a Power If you multiply powers having the same base, add the exponents.
Example Simplify: =
Exploration Simplify: 3 5 15 (x ) = x
Power of a Power To find a power of a power, multiply the exponents.
Example Simplify: = 13 11 8 s t
Exploration Simplify: 2 5 10 5 (z x) = z x
Power of a Product If a base has a product, raise each factor to the power
Example Simplify: = 7 20 -288 x y
Exploration Complete the tables by finding the pattern 55 3125 54 625 53 125 52 25 51 5 50 1 5 -1 1/5 5 -2 1/25 1/125 1/625 5 -3 5 -4 1/32 1/16 1/8 ¼ ½ 1 2 4 8 16
A Negative Exponent A simplified expression has no negative exponents.
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.
Example Simplify:
Exploration Simplify:
Power of a Quotient To find a power of a quotient, raise the denominator and numerator to the same power.
Example Simplify:
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