Algebra 2 C.C. 1.1 Apply Laws of Exponents A pet store raises mice for sale. The owner starts with 2 mice. The mice will reproduce in a manner so that the total population of the mice doubles every month. Complete the table below showing the total number of mice. Month number Total population How many mice will there be after 15 months? Definition of Powers b x = b ∙ b ∙ b ∙ b ∙ b ∙ b … x factors of b b is the base x is the exponent

Write without exponents (-3) Explain the difference between the expressions: (-4) x and -4 x When will the expressions (-4) x and -4 x be equal?

Laws of exponents 1.∙ ∙ = 2. = 3.(ab) x = a x b x 4. = 5. = 6.b -x = ; b≠0 7.b 0 = 1 ; b≠0 (5a 3 )(4a 2 ) (2x) 5

Simplify (6x 2 y 3 )(2x 5 y 4 )7 0 ∙ 7 -3 (7 2 ) -1 Explain why 0 -3 is undefined.

Simplify (2a 2 b 3 ) 3 4a 4 b 7 5w 3 y -4 w -2 y 2 Explain why 0 0 is undefined.

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Scientific Notation is a short cut method foe writing very large or small numbers. Scientific Notation takes the form: C x 10 n where 1 ≤ C < 10 and n is an integer Write in scientific notation. 3,500,000,000 45,

Write in standard notation 4.1 x x Use a calculator to simplify. (5 x 10 4 )(6 x 10 7 ) 1.4 x x 10 -4

assignment Page 326 Problems even, 60,62,70,83