Complex Fractions - Exercise Set 5 | MATH 1300, Assignments of Elementary Mathematics

Material Type: Assignment; Class: Fundamentals of Math; Subject: (Mathematics); University: University of Houston; Term: Unknown 2004;

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Pre 2010

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Exercise Set 5.4: Complex Fractions
Math 1300, Fundamentals of Mathematics
The University of Houston Chapter 5: Rational Expressions, Equations, and Functions
Simplify the following. No answers should contain
negative exponents.
1.
7
12
5
8
2.
6
7
2
3
3. 4
3
4
5
x
y
x
y
4.
5
2
7
12
4
a
b
c
b
5.
2
3
3
4
2
8
5
ab
cd
ac
bd
6.
4
65
2
7
3
8
9
4
x
y
wz
x
w
z
7.
3
2
5
4
8
x
yz
x
y
8.
3
5
2
10
bc
d
bd
9.
23
34
12
25
โˆ’
+
10.
51
62
32
53
โˆ’
โˆ’
11.
5
6
12
23
+
12.
1
1
7
1
7
+
13.
1
2
4
12
2
+
โˆ’
14.
5
8
2
4
3
โˆ’
15.
2
5
3
10
x
x
โˆ’
+
16.
7
8
1
12
x
x
+
โˆ’
17.
3
ab
b
ba
ab
+
โˆ’
18.
2
x
y
x
y
y
+
19.
2
2
4
712
8
20
6
xx
x
xx
x
++
โˆ’โˆ’
pf3

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Math 1300, Fundamentals of Mathematics

Simplify the following. No answers should contain negative exponents.

3

x y x y

5

2 7

a b c b

2 3 3 4

ab c d a c bd

4 6 5 2 7

x y w z x w z

3 2 5

x yz x y

b c d bd

x

x

x

x

3

a b b b a ab

x^2 y x y xy

2

2 4

x x x x x x

Math 1300, Fundamentals of Mathematics

5 2 3 2

x x x x x x

21.^3

x x

x x

22.^4

a a

a a

x x

x

x x x

a b

a b

x y

x y

x x x x

x x x x

2

x x

x

2

x x x

x x

x x

x x

x x

x x

x x x x

x x x x

For each of the following expressions, (a) Rewrite the expression so that it contains positive exponents rather than negative exponents. (b) Simplify the expression.

1 (^1 )

x x

โˆ’ โˆ’ (^) +

1 1

3 x x

โˆ’ โˆ’

1 1 1 1

x y x y

โˆ’ โˆ’ โˆ’ โˆ’

1 1 2 2

c d c d

โˆ’ โˆ’ โˆ’ โˆ’

2 2 1 1

x y x y

โˆ’ โˆ’ โˆ’ โˆ’