Algebra 1 Homework 8b: Integer Exponents and Scientific Notation - Prof. Violeta Kovacev-N, Assignments of Algebra

Homework problems from a university-level algebra 1 course. The problems cover topics on simplifying expressions with integer exponents and converting numbers to scientific notation. Students are required to use the power rules to simplify expressions and express answers without fractions in the first part, and write numbers in decimal notation and scientific notation in the second part.

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Pre 2010

Uploaded on 07/23/2009

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MATH 1100 - Algebra 1 HW_8b Í1.4 Integer Exponents
(Textbook, p.34-35. Suppl, p.9-10)
- 1 -
INTEGER EXPONENTS (cont.)
1. Use the power rules to simplify each expression. Express answers without fractions.
a.
(
)
8
2
x
b.
(
)
7
5
a
c.
(
)
4
5
3
a b
d.
3
0 6
4
2
y
e.
2
2 3
0 4
3
4
a b c
a b
f.
3
3 0
2 5
5
3
a b c
a b
g.
3
2
3 4
2x y
x y
h.
(
)
( )
3
3 5
2
6 1
4
2
a b
a b
2. Express your answer with positive exponents only.
a.
3 2 4
4 2 3
2
2
a b
a b
b.
(
)
2
4 2 0
3x y z
c.
2
3
4
x
y
d.
2 0
5
a b c
a b c
e.
2
3 3
4 3
14
7
x y
x y
f.
8 6
9 5 0
7 5
7 5 6
g.
(
)
(
)
4 5 5 6
3 2x y x y
h.
(
)
( )
2
2
3
4 3
3
2
a b
a b
pf2

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Download Algebra 1 Homework 8b: Integer Exponents and Scientific Notation - Prof. Violeta Kovacev-N and more Assignments Algebra in PDF only on Docsity!

MATH 1100 - Algebra 1 HW_8b Í1.4 Integer Exponents (Textbook, p.34-35. Suppl, p.9-10)

  • 1 -

INTEGER EXPONENTS (cont.)

  1. Use the power rules to simplify each expression. Express answers without fractions.

a. ( )

28 x

b. ( )

57 a

c. ( )

5 4 3 a b

d.

0 6 3 4

2 x y z y

e.

2 3 2 0 4

a b c a b

f.

3 0 3 2 5

a b c a − b

g.

2 3 3 4

2 x y x y

− − −

h.

3 53 6 1 2

a b a b

− − −^ −

  1. Express your answer with positive exponents only.

a.

3 2 4 4 2 3

a b a b

− − − −

b. ( )

4 2 0 2 3 x y z − −

c.

3 2 4

x y

−^ − −

d.

2 0 5

a b c a b c

− −

e.

3 3 2 4 3

x y x y

− −^ − − −

f.

8 6 9 5 0

− − − −

g. ( 3 x −^4 y 5 ) ( − 2 x y^5 −^6 )

h.

22 4 3 3

a b a b −

MATH 1100 - Algebra 1 HW_8b Í1.4 Scientific Notation (Textbook, p.35. Suppl, p.10-11, Online Suppl. 5.1)

  • 2 -

SCIENTIFIC NOTATION

  1. Write the following numbers in decimal notation.

a. 7.13 10⋅^5

b. 1.863 10 ⋅ −^2

  1. Write the following numbers in scientific notation.

a. 470 b. 1230 c. 1,730, d. 5,318,000,

e. 0. f. 0. g. 0. h. 0.

  1. Write the following numbers in scientific notation.

a. 0.00000359 ⋅ 104

b. 6,530, 000 10⋅^4

c. − 0.00000000109 10⋅^6

d. 0.00086 10 ⋅ −^6

e. 0.0000341 10⋅^12

f. 4, 273, 000, 000 10 ⋅ −^4

  1. Perform the following operations. Give the answer in scientific notation.

a. ( 7.2 10 ⋅ −^3 ) ( 5.0 10⋅ −^5 )

b.

5 6

− −

c.

2

− −

d.

5

⋅ ⋅^ −

e.

25

f.

6

− −