Wetzel

Math 155

5.6 – Exponents and Scientific Notation

Laws of Exponents:

1.)    Product Rule: 

Ex.:       =___________

            2.)  Power Rule:  

                        Ex.:      = __________

            3.)  Quotient Rule:  

                        Ex.:      = __________

            4.)  Zero Exponent Rule:  

                        Ex.:      = _________                  = ___________

            5.)  Negative Exponent Rule:             likewise,  

                        Ex.:      = __________

            6.)  Distributive Property:         

                        Ex.:      = ___________

Scientific Notation –

                        where   and b is an integer.

Converting into scientific notation –

            Steps –

1.)    Move the decimal to make

2.)    Count the number of positions the decimal was moved.

if moved to the right, the exponent of 10 will be negative

if moved to the left, the exponent of 10 will be positive

Ex.:

1.)  67,000                   2.)  0.0000349             3.)  7090          4.)  0.00105

Converting from scientific notation –

            Steps –

                        1.)  Move the decimal to the right b units if b is positive or

      move the decimal to the left b units if b is negative

Ex.:

5.)                          6.) 

Multiplying and Dividing numbers in Scientific Notation –

            Steps –

1.)    Mult./Divide the a-values together and mult./divide the b-values together

2.)    Make sure you have , if not, correct

Ex.:

7.)                8.) 

HW:  p.285  #1 - 71 every other odd