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Alg - Exponents, Scientific Notation, Simplifying Radicals

Total questions: 16

Worksheet time: 19mins

Name
Class
Date
1.
Simplify:
2x2 (3xyz4)
a)
5x3yz4
b)
6x3yz4
c)
8x2yz4
d)
8x3yz4
2.
What is the simplified form of 
2x2y
-------
6xy-1
a)
y2
--
3
b)
xy2
--
3
c)
x
__
3
d)
1
--
3
3.
(3ab7c)3
a)
3a3b21c3
b)
9a4b10c4
c)
9ab21c
d)
33a3b21c3
4.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
5.
Simplify (-5a-3)(3a6b)2
a)
-15a9b
b)
45a9b
c)
45ab2
d)
-45a9b2
6.
(3c2)(10c7)
a)
13c9
b)
30c5
c)
30c9
d)
-30c9
7.


 25t95t4\frac{25t^9}{5t^4}  

a)

5t5

b)

125t5

c)

125t13

d)

5t13

8.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
9.
(ab8c)(a-17c10)
a)
a17b8c11
b)
a16b8c11
c)
(b8c11)/(a16)
d)
a-17b8c10
10.
Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
8.01 x 10¹¹
b)
8.01 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
11.
Subtract using scientific notation.
(8.0 x 1013) - (7.5 x 1012)
a)
7.25 x 1013
b)
7.25 x 1012
c)
5.0 x 1012
d)
5.0 x 1013
12.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
13.


 9101831016\frac{9\cdot10^{18}}{3\cdot10^{16}}  

a)

3 x 102

b)

6 x 102

c)

27 x 1034

d)

3 x 1034

14.

Simplify:
 45\sqrt{45}   

a)

 959\sqrt{5}  

b)

 353\sqrt{5}  

c)

 595\sqrt{9}  

d)

 3153\sqrt{15}  

15.

 200\sqrt{200}  

Simplify:

a)

 10210\sqrt{2}  

b)

 2102\sqrt{10}  

c)

 50250\sqrt{2}  

d)

 2502\sqrt{50}  

16.


Simplify:
 32503\sqrt{250}  


a)

 151015\sqrt{10}  

b)

 52505\sqrt{250}  

c)

 8108\sqrt{10}  

d)

 15315\sqrt{3}