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Algebra 2 Unit 3 Exponents Practice

Total questions: 20

Worksheet time: 46mins

Name
Class
Date
1.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
2.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
3.

Which list orders the integers from least to greatest?

a)

-5, 3, -2, l -4l

b)

-2, 3, l-4l, -5

c)

-5, -2, 3, l-4l

d)

-2, -5, 3, l-4l

4.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

5.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

6.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
7.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
8.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
9.

 7x07x^0  

a)

1

b)

7

c)

 x7x^7  

d)

 x7x^{-7}  

10.

 1a5\frac{1}{a^{-5}}  

a)

 a5a^{-5}  

b)

 a5\frac{a}{5}  

c)

 a5a^5  

d)

 5a\frac{5}{a}  

11.
a)

5a12b45a^{12}b^4

b)

5a32b105a^{32}b^{10}

c)

a12b45\frac{a^{12}b^4}{5}

d)

5a12b4\frac{5}{a^{12}b^4}

12.

Write the above expression using a fractional exponent.

a)
b)
c)
d)
13.

Write the above expression in exponential form.

a)
b)
c)
d)
14.

Write the above expression in exponential form.

a)
b)
15.

Rewrite ∛x5 using rational exponents.

a)

x3/5

b)

x5/3

c)

3x5

d)

5x3

16.
Simplify:
a)
2
b)
4
c)
16
d)
64
17.
a)
2b2
b)
2b6
c)
6b6
d)
8b6
18.
a)
A
b)
B
c)
C
d)
D
19.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
20.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x