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Negative Numbers, Indices & Roots

Total questions: 30

Worksheet time: 26mins

Name
Class
Date
1.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
2.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
3.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
4.

(-7) x (-7)

a)

14

b)

-14

c)

49

d)

-49

5.

(-9)x(-8)

a)

-72

b)

72

c)

81

d)

-81

6.
-15 ÷ 3
a)
-12
b)
-5
c)
-18
d)
5
7.

 12÷(3)-12\div\left(-3\right)  

a)

36

b)

-15

c)

-4

d)

4

8.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
9.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
10.

What is the correct law for multiplication? am x an =

a)

am+n

b)

am + an

c)

amxn

d)

amn

11.

What is the correct law for division? am ÷ an =

a)

am-n

b)

am - an

c)

am÷n

d)

am/n

12.

Simplify: 35 x 37

a)

335

b)

912

c)

935

d)

312

13.

Simplify: 28 ÷ 22

a)

26

b)

24

c)

210

d)

1

14.

Simplify: f0

a)

1

b)

f

c)

f1

d)

0

15.

Simplify: (y7)2

a)

y14

b)

y49

c)

y5

d)

y9

16.

What is the correct law for powers of powers? (am)n =

a)

am x an

b)

am x n

c)

am+n

d)

amen

17.

Simplify: y4 x y7 x y

a)

y12

b)

y28

c)

y11

18.

What is 45 in expanded form?

a)

4 x 5

b)

4 x 4 x 4 x 4 x 4

c)

1024

d)

5 x 5 x 5 x 5 x 5

19.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
20.
c5 ÷ c2
a)
c7
b)
c3
c)
c10
d)
c-2
21.
(-5)2
a)
10
b)
-10
c)
25
d)
-25
22.
-52
a)
10
b)
-10
c)
25
d)
-25
23.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
24.

 (2)3=\left(-2\right)^3=  

a)

-8

b)

-6

c)

6

d)

8

25.

Find: 3×(2)×4-3\times\left(-2\right)\times4  



(a)  

26.
Evaluate.
a)
444
b)
222
c)
4
d)
2
27.
Evaluate.
a)
-12
b)
12
c)
±12
d)
1/12
28.
Which expression DOES NOT have a product of −18?
a)
−2 ∗ −9
b)
−6 ∗ 3
c)
−3 ∗ 6
d)
−9 ∗ 2
29.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15
30.
If x3 = -27, then x equals
a)
-3
b)
-9
c)
+3 and -3
d)
+9 and -9