Beginning Algebra, 11th Edition

(Marvins-Underground-K-12) #1
91.Assume that ais a number greater than 1. Arrange the following terms in order from
least to greatest: , , ,. Explain how you decided on the order.
92.Devise a rule that tells whether an exponential expression with a negative base is posi-
tive or negative.

Compound interestis interest paid on the
principal and the interest earned earlier.
The formula for compound interest, which
involves an exponential expression, is

where Ais the amount accumulated from
a principal of Pdollars left untouched for
n years with an annual interest rate r
(expressed as a decimal).

In Exercises 93– 96, use the preceding formula and a calculator to find A to the nearest cent.


  1. , , 94. , ,
    95.P=$1500, , r=0.035n= 6 96.P=$2000, , r=0.025n= 4


P=$250r=0.04n= 5 P=$400r=0.04n= 3

A=P 11 +r 2 n,


  • 1 - a 23 - a^31 - a 24 - a^4


5.2 Integer Exponents and the Quotient Rule


Give the reciprocal of each number. See Section 1.1.

















Perform each subtraction. See Section 1.5.




    1. 103.Subtract from - 6 - 3. 104.Subtract from - 3 - 6.




8 - 1 - 42 - 4 - 8

- 0.5

1

8

9 - 3

PREVIEW EXERCISES


OBJECTIVES

Integer Exponents and the Quotient Rule


5.2


1 Use 0 as an
exponent.


2 Use negative
numbers as
exponents.


3 Use the quotient
rule for exponents.


4 Use combinations
of rules.


Consider the following list.


Each time we reduce the exponent by 1, the value is divided by 2 (the base). Using


this pattern, we can continue the list to lesser and lesser integer exponents.


2 -^3 =^18


2 -^2 =^14


2 -^1 =^12


20 = 1


21 = 2


22 = 4


23 = 8


24 = 16


From the preceding list, it appears that we should define as 1 and bases raised


to negative exponents as reciprocals of those bases.


20

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