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. How many mice will there be after 15 months? Definition of Powers bx = b ∙ b ∙ b ∙ b ∙ b ∙ b … x factors of b b is the base x is the exponent Month number Total population 1 2 3 4 5 6 7

Write without exponents. 73 58 (-3)4 -34 Explain the difference between the expressions: (-4)x and -4x When will the expressions (-4)x and -4x be equal?

Laws of exponents ∙ ∙ = = (ab)x = ax bx b-x = ; b≠0 b0 = 1 ; b≠0 ∙ ∙ = = (ab)x = ax bx b-x = ; b≠0 b0 = 1 ; b≠0 (5a3)(4a2) (2x)5

Simplify (6x2y3)(2x5y4) 70 ∙ 7-3 (72)-1 Explain why 0-3 is undefined.

Simplify (2a2b3)3 4a4b7 5w3y-4 w-2y2 Explain why 00 is undefined.

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Scientific Notation is a short cut method for writing very large or small numbers. Scientific Notation takes the form: C x 10n where 1 ≤ C < 10 and n is an integer Write in scientific notation. 3,500,000,000 45,000 .000 000 0576 .007

Write in standard notation 4.1 x 105 6 x 10-3 Use a calculator to simplify. (5 x 104)(6 x 107) 1.4 x 1018 7 x 10-4

assignment Page 326 Problems 16-56 even