Algebra 1B Unit 6 - Exponents

Negative and Zero Exponents

100

4^-1

1/4

200

(1/3)^-1

3

300

(-6x^2y)^0

1

400

(x^(-1))/(y^4)

1/(xy^4)

500

(8x^2y^-3)/(a^-4b^17)

(8a^4x^2)/(b^17y^3)

Multiplication Properties of Exponents

100

x^4*x^2

x^6

200

(a^3)^6

a^18

300

(2x)^3

2^3x^3 or 8x^3

400

(4x^2y^5)^7

4^7x^14y^35

500

(6x^2*4x^4)^5

24^5x^30

Division Properties of Exponents

100

a^7/a^4

a^3

200

x^5/x^-2

x^7

300

(3/5)^2

9/25

400

((asngla)^0)/(x^-1)

x

500

(2x^3z^2)^3/(x^3y^4z^2*x^-4z^3)

(8x^10z)/y^4

Scientific Notation

100

Convert 6,256,000,000 into scientific notation.

6.256x10^9

200

4.26x10^-3

into standard notation. 

0.00426

300

3.2x10^3+5.4x10^3

8.6x10^3

400

8.46x10^9-2.1x10^8

8.25x10^9

500

(5.3x10^3)*(4x10^5)

2.12x10^9

Exponential Functions

100

Solve 

y=(1/4)^x

for x=-2

y=16

200

Create a t-chart from -2 to 2 for the function 

y=2^x

x   y

-2  1/4

-1  1/2

0   1

1   2

2   4

300

How much money would you have if you deposited $100 in an account that earned 8% interest, and did nothing else to it for 10 years? Round to the nearest hundredth. 

$215.89

400

A car comes off the line valued at $24,000. It loses 1% of its value for each mile it drives. What is its valuation at 10,000 miles?

5.397x10^-40, or 0

500

You purchase a souvenir from a store for $0.50, and it grows in value by 20% every 2 years. How much will it be worth in 40 years? Round to the nearest cent.  

$19.17