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Exponent Review (All Rules-Easy)

Total questions: 25

Worksheet time: 35mins

Name
Class
Date
1.

 y0=y^0=  

a)

y

b)

0

c)

1

d)

10

2.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

c)

x

d)

N/A

3.

 x5x^{-5}  =

a)

 1x5\frac{1}{x^{-5}}  

b)

 1x5\frac{1}{x^5}  

c)

 x51\frac{x^5}{1}  

d)

 x51\frac{x^{-5}}{1}  

4.

 m2m6m=m^2\cdot m^6\cdot m=  

a)

 m8m^8  

b)

 m12m^{12}  

c)

 m4m^4  

d)

 m9m^9  

5.

 x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

 x6x^6  

b)

 x12x^{12}  

c)

 x42x^{-42}  

d)

 x12x^{-12}  

6.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

7.

 x9x4\frac{x^9}{x^4}  =

a)

 x13x^{13}  

b)

 x36x^{36}  

c)

 x5x^5  

d)

 x5x^{-5}  

8.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

9.

 x9x4\frac{x^9}{x^4}  =

a)

 x13x^{13}  

b)

 x36x^{36}  

c)

 x5x^5  

d)

 x5x^{-5}  

10.

 a5b10a3b6=\frac{a^5b^{10}}{a^3b^6}=  

a)

 a8b16a^8b^{16}  

b)

 a2b4a^2b^4  

c)

 a15b60a^{15}b^{60}  

d)

 a2b16a^2b^{16}  

11.

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

12.

 (x7)2\left(x^7\right)^2  =

a)

 x14x^{14}  

b)

 x9x^9  

c)

 x5x^5  

d)

 2x72x^7  

13.

 (a3b5)7\left(a^3b^5\right)^7  =

a)

 a3b35a^3b^{35}  

b)

 a10b12a^{10}b^{12}  

c)

 a8b8a^8b^8  

d)

 a21b35a^{21}b^{35}  

14.

 (ab2)8\left(ab^2\right)^8  =

a)

 ab16ab^{16}  

b)

 a8b16a^8b^{16}  

c)

 a9b10a^9b^{10}  

d)

 ab10ab^{10}  

15.
( x4 )( x2 )( x4 )
a)
x32
b)
x4
c)
x10
d)
x8
16.
( - 3x8 )( - 2x4 )
a)
- 5x12
b)
5x12
c)
- 6x12
d)
6x12
17.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
18.

Simplify:  (42d2)3\left(\frac{4}{2d^2}\right)^3  

a)

 2d2\frac{2}{d^2}  

b)

 8d6\frac{8}{d^6}  

c)

 82d2\frac{8}{2d^2}  

d)

 642d2\frac{64}{2d^2}  

19.

 525^{-2}  

a)

 125\frac{1}{25}  

b)

25

c)

 152\frac{1}{5^{-2}}  

d)

 525^2  

20.

Rewrite using a positive exponent.

g-7

a)

1g7\frac{1}{g^7}

b)

g7

c)

1g7\frac{1}{g^{-7}}

d)

-g7

21.

Simplify.
 23242^{-3}\cdot2^4  

a)

2

b)

 212^{-1}  

c)

16

d)

 122\frac{1}{2^2}  

22.

Evaluate

a)

-1

b)

132\frac{1}{32}

c)

132\frac{-1}{32}

d)

1

23.
Simplify
a)
7a5/b3
b)
b3/7a5
c)
7b3/a-5
d)
7b3 /a5
24.

 n1n^{-1}  

a)

 1n\frac{1}{n}  

b)

1

c)

 n1\frac{n}{1}  

d)

 nn  

25.

 6x26x^{-2}  

a)

 x6\frac{x}{6}  

b)

 6x2\frac{6}{x^2}  

c)

 x26\frac{x^2}{6}