Download Laws of Exponents

10.1 Negative Exponents (continued)
Laws of Exponents
2.
bm  bmn
bn
bc  b c
5.






b0 1
7.
bn  1n
b
mn
1.
b b b
3.





4.
6.
m n










n
bm  bmn
n





n n






n
b  bn
c cn
a.
x5 x3
3
y
b.
y 4






2
x
c.






4
6
d. 15b
2
3b
9 3
e. 35b c
7 5
25b c





5 



f. 3bc
2
Scientific Notation
Scientific notation is used in the science to write
very large or very small numbers.
A number in scientific notation has the form:
k
N10
where N is a decimal number and k is an integer
17
Ex: 5.210
9
3.62810
Convert to standard decimal notation:
a. 5103
4
b. 7.3810
12
2.8610
Write in scientific notation:
a. 6,257,000,000
b. 0.00000721
10.1 Laws of Exponents and Scientific Notation
Simplify the following expressions. Write your answer using only positive exponents.
1.
b4b8
2.
 4b 5b 
3.
b2
b2
4.
28b2c3
4b3c1
5.
6 bc4
 
3
9
4
6. 6(bc4 )3
Write the following numbers in standard decimal form:
7. 3.965 102
8. 2.39 101
9. 6.52 10 4
10. 8 100
Write the number in scientific notation:
11. 84, 260, 000
12. 0.00098
13. -42.215
14. -0.00244
15. The moon has an average distance from Earth of approximately 2.389 105 miles.
Write this distance in standard decimal notation.
16. One second is about 0.0000000317 year. Convert this number to scientific notation.