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Unit 1 Part 2 Study Guide

Total questions: 18

Worksheet time: 36mins

Name
Class
Date
1.
a)
a7
b)
a10
c)
a3
d)
a-3
2.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
3.
Simplify.
a)
y15
b)
y5
c)
y2
d)
2y5
4.
 Simplify
a)
m7/n2
b)
n2/m7
c)
m19/n4
d)
n-2m-7
5.

Simplify the expression using exponential notation:

a2a4a^2\cdot a^4  

a)

a6a^6  

b)

a8a^8  

c)

a2a^2  

d)

a24a^{24}  

6.
Simplify
a)
y2
b)
y35
c)
y12
d)
y14
7.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
8.
a)
a8b13
b)
a2b7
c)
a15b30
9.

Simplify

x2x8x^2\cdot x^8  

a)

x10x^{10}  

b)

x16x^{16}  

c)

x6x^6  

d)

x4x^4  

10.

Simplify completely: 4243

a)

46

b)

165

c)

45

11.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
12.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
13.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
14.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
15.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
16.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
17.
Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
5.20301 x 10¹¹
b)
.520301 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
18.

The diameter of the planet Mercury is 4.87 x 103 km.  The diameter of the planet Venus is 1.21 x 104 km. The diameter of the planet Mars is  1.28 x 103 km.    Which planet has the smallest diameter?

a)
Mercury
b)
Mars
c)
Venus