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Powers and Exponents: Ch 9.4 - 9.6

Total questions: 40

Worksheet time: 2hrs 11mins

Name
Class
Date
1.
Solve 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
2.
Solve (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
3.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
4.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
5.
Simplify (-9)0

a)
-9
b)
-1
c)
1
d)
9
6.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
7.
Rewrite using a positive exponent.
2w-13
a)
-w13
b)
2/w13
c)
2/w-13
d)
2w13
8.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
9.

Simplify 3a-1c-5/ d0

a)

1

b)

3/ac5

c)

3a/c5

d)

1/3a1c5d

10.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
11.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
12.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.

Simplify the following expression:


(x5)4

a)

x9

b)

x20

c)

x

d)

x54

14.

Simplify the following expression:


(b3)8

a)

b11

b)

8b3

c)

b24

d)

24b

15.

Simplify the following expression:


(2x3y)6

a)

2x18y6

b)

64x18y6

c)

64x3y6

d)

2x3y6

16.

Simplify the following expression:


(3x4y5)2

a)

9x8y10

b)

6x8y10

c)

3x8y10

d)

x8y10

17.

Simplify the following expression:


(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

18.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
19.

Simplify the following expression:


(7a2)(5a6b)2

a)

35a14b2

b)

175a12b2

c)

175a14b2

d)

35a14b

20.


(4yx4)2\left(4yx^4\right)^2  

a)

8y3x68y^3x^6  

b)

6y2x86y^2x^8  

c)

8y2x88y^2x^8  

d)

16y2x816y^2x^8  

21.


(4qm2p2)4\left(4qm^2p^2\right)^4  

a)

16q5m6p616q^5m^6p^6  

b)

256q4m8p8256q^4m^8p^8  

c)

16q4m6p616q^4m^6p^6  

d)

  256q5m6p6256q^5m^6p^6  

22.

Simplify.


(3ab2)2 (2a3b)3

a)

72a11b7

b)

36a11b7

c)

72a8b7

d)

54a11b7

23.

Simplify.


-3(b3)2(-2b4)2

a)

-12b14

b)

12b14

c)

6b14

d)

-12b11

24.


(4qm2p2)4\left(4qm^2p^2\right)^4  

a)

16q5m6p616q^5m^6p^6  

b)

256q4m8p8256q^4m^8p^8  

c)

16q4m6p616q^4m^6p^6  

d)

  256q5m6p6256q^5m^6p^6  

25.


(4yx4)2\left(4yx^4\right)^2  

a)

8y3x68y^3x^6  

b)

6y2x86y^2x^8  

c)

8y2x88y^2x^8  

d)

16y2x816y^2x^8  

26.

How would you write 4.3756 x 104 in standard form?

(a)  

27.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

28.

How would you write -5.6 x 10-3 in standard form?

(a)  

29.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
30.

Scientific Notation is made up of two number parts. The second part is a power 10.

a)

True

b)

False

31.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

32.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

33.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

34.

Convert this number into scientific notation:


0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

35.

Convert this number to standard notation:


1.4 x 10-2

(a)  

36.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

37.

Which number is the least in value?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

38.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
39.
How would you write 0.0005 in scientific notation?
a)

50 x 105

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

40.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10

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