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Exponent rules end of unit review

Total questions: 20

Worksheet time: 27mins

Name
Class
Date
1.
Simplify:  (-4)2
a)
-8
b)
16
c)
-16
d)
8
2.
Simplify:  (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
3.

Simplify completely: 4243

a)

1024

b)

46

c)

165

d)

45

4.
Simplify:  (-5p)2
a)
-25p2
b)
25p2
c)
-5p2
d)
5p2
5.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
6.
Simplify:  x8/x2
a)
x16
b)
x4
c)
x5
d)
x6
7.

Simplify: 7p0

a)

7

b)

1

c)

simplified

d)

7p

8.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
9.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
10.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
11.
X2 ⋅ X3 ⋅ X4 ⋅ X
a)
x9
b)
x24
c)
x10
d)
x25
12.

Using exponents, simplify the following expression:


55 * 5-3

a)

5-15

b)

58

c)

5-8

d)

52

13.

Simplify the following expression:


(xyz)0 =

a)

0

b)

1

c)

xyz

d)

-1

14.

Simplify the following expression:


-90

a)

-9

b)

0

c)

-1

d)

1

15.

Rewrite using positive exponents

a)

24

b)

1/24

c)

42

d)

1/42

16.

Using exponents, simplify the following expression

a)

x-7

b)

1/x7

c)

x7

d)

x-9

17.

Select ALL solutions that are equivalent to the following expression:


3-5 * 32

a)

3-10

b)

3-3

c)

1/310

d)

1/33

18.

8v−38v^{-3}  

a)

8 ⋅ −v ⋅ −v ⋅ −v 8\ \cdot\ -v\ \cdot\ -v\ \cdot\ -v\  

b)

v3−8\frac{v^3}{-8}  

c)

−8v3-8v^3  

d)

8v3\frac{8}{v^3}  

19.

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.  y6y3\frac{\text{}y^6}{\text{}y^3}  

a)

Divide

b)

Add

c)

Multiply

d)

Subtract

20.

Anything raised to the zero power (except zero) is equal to what?

(a)