1. 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 1 2 2 3 4 5 6 7 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

2. Write without exponents. 7373 5858 (-3) 4 -3 4 Explain the difference between the expressions: (-4) x and -4 x When will the expressions (-4) x and -4 x be equal?

3. 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

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

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

6. Page 325 example 3

7. 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 45,000.000 000 0576.007

8. Write in standard notation 4.1 x 10 5 6 x 10 -3 Use a calculator to simplify. (5 x 10 4 )(6 x 10 7 ) 1.4 x 10 18 7 x 10 -4

9. assignment Page 326 Problems 16-56 even, 60,62,70,83