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Worksheets

Exponents

Total questions: 35

Worksheet time: 3600secs

Name
Class
Date
1.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
2.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
3.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

4.
Simplify
x4⋅x3⋅x
a)
x8
b)
x12
c)
x7
d)
x10
5.
Simplify
(y3)4
a)
y7
b)
y12
c)
y-1
d)
y8
6.
Simplify
a)
y2
b)
y35
c)
y12
d)
y14
7.
Simplify
a)
x12
b)
x17
c)
x6
d)
x23
8.
Simplify
a)
z
b)
z12
c)
1
d)
z14
9.
Simplify
a)
x4
b)
x6
c)
x29
d)
x20
10.
Simplify
a)
75x6
b)
3x2
c)
75x2
d)
20x6
11.
Simplify
a)
x4/3
b)
3x10
c)
36x10
d)
3x4
12.
Simplify
a)
w24y9
b)
w11y6
c)
y3/w6
d)
w6/y3
13.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.

 5x32x25x^3\cdot2x^2  

a)

10x5

b)

3x

c)

10x6

d)

7x5

16.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
17.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
18.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.

Simplify the following expression:
 xy7xy^{-7}  

a)

xy7xy^7

b)

xy7\frac{x}{y^7}

c)

x7y\frac{x^7}{y}

d)

x7yx^7y

20.

 4a2 2ab34a^{-2}\ \cdot2ab^3 
Simplify.

a)

 8b3a3\frac{8b^3}{a^3}  

b)

 4b3a\frac{4b^3}{a^{ }}  

c)

 6b3a\frac{6b^3}{a}  

d)

 8b3a\frac{8b^3}{a} 

21.
Simplify (-4x)0
a)
-4x
b)
-4
c)
1
d)
-1
22.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
23.
Simplify
a)
9a3/6b3
b)
9a3/8b3
c)
27a3/8b3
d)
6a3/5b3
24.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
25.

Which expression is equivalent to the given?

a)
b)
c)
d)
26.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
27.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
28.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
29.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
30.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
31.

(6x2)(-3x5)

a)

18x7

b)

-18x7

c)

18x7

d)

3x7

32.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
33.

Simplify:

(5ab2)2

a)

25a2b4

b)

10a2b4

c)

5a2b4

d)

25ab2

34.

 3x3y2x8y53x^3y\cdot2x^8y^5  CHALLENGE:

a)

5x11y6

b)

6x11y6

c)

6x24y5

d)

3x112y5

35.
56= ?
a)
56
b)
0
c)
1
d)
65