Exponents & Scientific Notation

Operations Using Scientific Notation

100

 (4 x 10^5)(2 x 10^3)=  

8 x 10^8

200

 (9 x 10^3)(7 x 10^-1)= 

6.3 x 10^3

300

(4.5 x 10^7)/(5 x 10^4)

9 x 10^2

400

(7 x 10^4) + (6 x 10^3) =

7.6 x 10^4

500

(3.4 x 10^-4) - (5.3 x 10^-5) =

2.87 x 10^-4

Scientific to Standard

100

Convert to standard notation:

4.7 X 10^4

47,000

200

Convert to standard notation:  3.425 X 10^8 

342,500,000

300

Convert to standard notation:   4.38 X 10^-5 

0.0000438

400

Convert to standard notation:  4.6 X 10^-6 

0.0000046

500

Convert to standard notation:  9.64 X 10^-7 

0.000000964

Standard to Scientific

100

Convert to scientific notation: 8,000,000

8 X 10^6

200

Convert to scientific notation: 70,300,000,000

7.03 x 10^10

300

Convert to scientific notation: 0.00094

9.4 X 10^-4

400

Convert to scientific notation: 0.0003005

3.005 X 10^-4

500

Convert to scientific notation: 0.0000003

3 X 10^-7

Properties of Exponents 1

100

a^30 / a^20

a¹⁰

200

x^-2/x^-2

1

300

(b⁸)⁴

b³²

400

 (b^12) * (b^2)^3 

b¹⁸

500

((g^-5)(g^-8))/(g^10)

1/g^23

Properties of Exponents 2

100

 (b^12)/ (b^8) 

b⁴

200

d²² · d¹²

d³⁴

300

x^7 * x^-6 * y^-3

x/y^3

400

-(x²y³)⁴

-x⁸-y¹²

500

 ((r^10)(r^-2))/(r^5)^2 

1/r^2