Name
University of Baltimore
Math 107: College Algebra
Date
Homework: Sections R.5-R.7(C)
BECAUSE THIS IS A GRADED ASSIGNMENT, YOU ARE NOT ALLOWED TO EITHER GIVE OR RECEIVE HELP IN
ANSWERING THESE QUESTIONS.
Answer each question as indicated. Think first, then write. Show all your work, and remember to check your answers! Place
your answers in the spaces provided at the right.
3
2
+
−
−
+
y
3
y
y
3
÷
y
3
1. a) Find the quotient (simplest form):
. b) State restrictions on the variable.
−
2
−
−
1
y
y
y
2
1a. ___________________
1b. ___________________
+
−
p
2
p
2
−
2. a) Perform the subtraction (simplest form):
. b) State the domain (interval notation).
−
p
p
1
2a. ___________________
2b. ___________________
−
3
+
2
−
0
=
−
=
−
3. Evaluate
a
b
b
for
a
, 2
b
. 3
3. ___________________
−
−
3
5
4
m
n
4. Simplify
. Write your answer using only positive exponents.
−
2
4
12
m
n
4. ___________________
3
−
⎛
⎞
9
2
⎜ ⎜
⎟ ⎟
−
5. Simplify:
. Write your answer using only positive exponents.
2
⎝
⎠
x
5. ___________________
3
+
−
6. Simplify:
2
32
4
32
.
6. ___________________
(
)
2
7 +
7. Multiply and simplify:
.
3
7. ___________________
−
5
∗
10
100
8. Use what you know of exponents and roots (and their properties) to evaluate
.
2
∗
3
100
1000
8.