7 1 Zero and Negative Exponents Base A

7. 1 Zero and Negative Exponents: Base: A number that is multiplied repeatedly. Exponent: A number that shows repeated multiplication. Property: A character or attribute that something has.

GOAL:

Definition: An exponent equation has two components: Exponent Base

PROPERTIES: ZERO: as an exponent For every number a, Ex: 0 0 0 (-3) = 1 4 =1 100 = 1 0 0 (-½) = 1 1, 000 = 1

YOU TRY IT: Simplify the following exponents: 1) -1 0 2) (-1) 0 3) m 0 4) -1/3 0

SOLUTION: No matter what integer it is, anything to the power of zero is 1. 1) -1 = -1 0 2) (-1) 0 = 1 3) m 0 = 1 4) -1/3 0 = -1

PROPERTIES: Negative numbers: as an exponents For every nonzero number a and integer n

NOTE: In math we never like to work with negative exponents. We must always provide answers with positive exponents. Ex:

ALSO: If negative exponents are in the denominator, we still turn them into positive. Ex: 1(9) = 9 6(4) =24

SIMPLIFYING EXPONENTIAL EXPRESSIONS: Once again, always give answers with positive exponents only! Ex: What is the simplified form of each expression? 3 -2 a)5 a b -3 c)4 c r

SOLUTIONS: Switch the integers that have negative to the other side. 3 -2 a)5 a b 5 x -3 c) 4 c r

VIDEO: Get a hot chocolate and enjoy this!!!. Exponents Definition http: //www. khanacademy. org/math/algebra/exponentequations/exponent-properties-algebra/v/exponent-properties-1 Negative Exponents http: //www. khanacademy. org/math/algebra/exponentequations/exponent-properties-algebra/v/exponent-properties-2 Negative and Positive Exponents http: //www. khanacademy. org/math/algebra/exponentequations/exponent-properties-algebra/v/negative-and-positiveexponents

CLASSWORK: Page 417 -418: Problems: As many as needed to understand the concept