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Practice: Unit 4 - Sections 1-3

Total questions: 35

Worksheet time: 1hrs 1mins

Name
Class
Date
1.
(52)3
a)
56
b)
55
c)
57
d)
58
2.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
3.
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
4.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
5.
 Simplify
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
6.

Write 5 x 5 x 5 x 5 in index form

a)

545^4  

b)

454^5  

c)

20

7.

calculate 23×322^3\times3^2  

a)

72

b)

36

c)

54

d)

17

8.

calculate 1521^{52}  

a)

1

b)

52

c)

53

d)

20471

9.

53

a)

15

b)

5

c)

125

d)

25

10.

100

a)

0

b)

1

c)

10

d)

100

11.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

12.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

13.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

14.

In the exponent 34, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

15.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
17.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
18.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
19.
.
a)
4x2
b)
8x2
c)
4x4
d)
10x4
20.
Simplify
(xy)4
a)
4xy
b)
4x4y4
c)
8xy4
d)
x4y4
21.
Rewrite the expression as a power.
 (24)(25)
a)
220
b)
49
c)
420
d)
29
22.
Simplify the expression.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
23.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
24.
Simplify:
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
25.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
2z7
26.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
27.
a)
110
b)
126
c)
z10
d)
z26
28.
a)
y14
b)
y10
c)
114
d)
110
29.
a)
x13
b)
x5
c)
x36
d)
x-5
30.

Use the quotient rule to simplify the monomial.

a)

2a3b5

b)

a3b5

c)

2a9b19

d)

2ab5

31.

r2⋅ r

a)

r3

b)

r2

c)

2r3

d)

11r2

32.
4 * 42
a)
42
b)
162
c)
43
d)
163
33.
5r2⋅ 6r
a)
30r3
b)
30r2
c)
11r3
d)
11r2
34.
9x5y2⋅ 9xy2
a)
81x6y4
b)
81x5y6
c)
9x6y4
d)
none of the above
35.

What is equivalent to

(3x2yz)4\left(3x^2yz\right)^4  

a)

81x8y4z481x^8y^4z^4  

b)

12x8y4z412x^8y^4z^4  

c)

81x4y8z481x^4y^8z^4  

d)

12x4y4z412x^4y^4z^4