ICNS015 Refresher Mathematics
Exercises #3
Name_______________________________________________ Student ID_________________________ Section_______
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1) Simplify: x6 x 2 (3x 3 )
1)
2) Simplify: (x4 )3
2)
3) Simplify: (3x)3
3)
4)
4)
Simplify and express your answer in terms of positive exponents:
5) Simplify: x 4 y3
x2
y
5
5
5)
6) Simplify: y5 (y3 )2
6)
3 163 28
3 173 5
7)
7) Simplify:
8) Simplify and express your answer in terms of positive exponents:
x 12
x 4 x4
8)
9) Simplify: 3a3b2 3 2ab3 c2 4
9)
10)
10)
Simplify and express your answer in terms of positive exponents:
11) Simplify and express your answer in terms of positive exponents:
a2 b
3c3
4
(x 5 )7
y5y7
11)
12) Simplify and express your answer in terms of positive exponents: (2x -3 y 2 )5
12)
13) Simplify and express your answer in terms of positive exponents: (4x)-2
13)
14) Simplify and express your answer in terms of positive exponents:
1
x -5
(x 4 ) -2
14)
15) Simplify: 289 - x7 y8 0
15)
x -3 y -2
x 2y -7
16) Simplify and express your answer in terms of positive exponents:
16)
17)
17)
-2
x -1
Simplify and express your answer in terms of positive exponents:
y -1
18)
18)
3x -4 y
z2
Simplify and express your answer in terms of positive exponents:
19) Simplify and express your answer in terms of positive exponents:
-3
(2x 2 y -3 )2
x2
19)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
20) (x 6 )3(x 2) =
A) x 81
21)
2x 3
y2
A)
22)
D) x 36
E) x 20
16x 7
y6
B)
16x 12
y2
C)
16x 12
y8
D)
2x 12
y8
E)
2x 7
y6
22)
y2
x6
B)
1
6
x y2
C)
x6
y2
D) x 6 y2
E) x 8 y35
A)
23)
3
b
x -3
y2 z-2
20)
21)
=
3ab-2
=
a-1 b3
A)
24)
C) x 11
x -4 x -2
=
y-7 y 5
A)
23)
4
B) x 54
B)
-3
x9y6
z6
3a2
b5
C)
3a
b
D)
-3a2
b5
E)
3a5
b2
24)
=
B)
yz5
x6
C)
z6
x9y6
2
D)
x9z2
y2
E)
x6
yz5