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Worksheets

Multiply Exponents

Total questions: 40

Worksheet time: 1hrs 13mins

Name
Class
Date
1.

Simplify: 23⋅222^3\cdot2^2  

a)
24
b)
84
c)
36
d)
25
2.

Simplify: (42 )( 42)

a)
164
b)
42
c)
44
d)
82
3.

Simplify: (-2)³⋅(-2)⁶

a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
4.

Simplify: 6⋅6⁷

a)
6⁸
b)
6⁶
c)
6⁷
d)
6
5.

Simplify: 5³⋅5⁴

a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
6.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
7.

Simplify the expression.

(x3) . (x6)

a)

x9

b)

x3

c)

x18

d)

x36

8.

What is 5−45^{-4}   written with a positive exponent?

a)

20

b)

545^4  

c)

154\frac{1}{5^4}  

d)

-20

9.

Simplify: 43⋅44^3\cdot4  

a)

444^4  

b)

434^3  

c)

16416^4  

d)

16316^3  

10.

What is the value of 3−23^{-2}  

a)

16\frac{1}{6}  

b)

19\frac{1}{9}  

c)

-9

d)

-6

11.

13x4b5 ⋅\cdot 4x6b7 =

a)

17x10b12

b)

52x10b12

c)

17x24b35

d)

52x24b35

12.

22 ⋅\cdot 23 ⋅\cdot f5 ⋅\cdot f6

a)

25f11

b)

32f11

c)

45f11

d)

46f18

13.

(1.2 x 103) (3.4 x 107) =

a)

4.6 x 1021

b)

4.6 x 1010

c)

4.08 x 1010

d)

4.08 x 1021

14.

7(u + 8) =

(a)  

15.

10(x + 9) =

(a)  

16.

7x0

a)

7x

b)

7

c)

1

d)

0

17.
Simplify -90 
a)
1
b)
-1
c)
-9
d)
9
18.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
19.
Simplify x2y-5
a)
x2/y5
b)
1/x2y5
c)
y5/x2
d)
x2/y-5
20.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
21.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
22.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
23.
Simplify (-4x)0
(Hint: parenthesis matter)
a)
-4
b)
4x
c)
-1
d)
1
24.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
25.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
26.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
27.
(7uv2)-5
a)
-35uv-10
b)
-5/7uv2
c)
1/75u5v10
d)
1/7uv10
28.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
29.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
30.
Simplify:
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
31.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
32.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
33.
Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
34.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
35.
(42 )( 42)
a)
164
b)
42
c)
44
d)
82
36.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
37.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
38.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
39.
In 23 what is the base?
a)
2
b)
3
c)
23
40.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55