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ALGEBRA 2: SUMMATIVE TEST 2

Total questions: 36

Worksheet time: 9hrs 0mins

Name
Class
Date
1.
Write the expression in exponential form:
√23
a)
231/2
b)
23-1/2
c)
232
d)
23-2
2.
Write the expression in exponential form:
∛x2
a)
x3/2
b)
x2/3
c)
x1/2
d)
x1/3
3.
Write the expression in exponential form:
∜x5
a)
x4/5
b)
x5/4
c)
x5
d)
x1/4
4.
Write the expression in exponential form:
∛(2x)2
a)
(2x)2/3
b)
2x2/3
c)
2x3/2
d)
(2x)3/2
5.
Write the expression in radical form.
x3/4
a)
∜x3
b)
∛x4
c)
x.75
d)
√x2
6.
Write the expression in radical form.
y1/2
a)
√y
b)
∛y
c)
√y2
d)
∛y2
7.
Write the expression in radical form.
x1.5
a)
√x3
b)
∛x2
c)
x3
d)
√x
8.
Write the expression in radical form.
x7/2
a)
√x7
b)
7√x2
c)
7x2
d)
∛x7
9.
Simplify the expression:
361/2
a)
6
b)
36
c)
-6
d)
1296
10.
Simplify the expression:
271/3
a)
3
b)
9
c)
27
d)
33
11.
Simplify the expression:
101/2 * 101/2
a)
10
b)
100
c)
10,000
d)
3.56
12.
Simplify the expression:
31/2 * 271/2
a)
9
b)
81
c)
3
d)
1/3
13.
Simplify the expression:
31/3 * 91/3
a)
3
b)
9
c)
1/3
d)
27
14.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
15.
Simplify
(-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
16.
a)
5-8
b)
52
c)
25-8
d)
252
17.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
18.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
19.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
20.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
21.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
22.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
23.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
24.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
25.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
26.
a)
9-4
b)
9-45
c)
3-4
d)
3-45
27.
a)
0
b)
3
c)
1
d)
-1
28.

Simplify completely.

a)

3v√2v

b)

3v√2v3

c)

v√18v

d)

9v√v

29.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
30.
Simplify:
a)
5x√2
b)
100x√2
c)
10x√2
d)
10√2x
31.

Simplify the radical expression

a)
b)
c)
d)
32.

Simplify.

a)
b)
c)
d)
33.

Simplify.

a)
b)
c)
d)
34.

Simplify 25n2\sqrt{25n^2}  

a)

5nn5n\sqrt{n}  

b)

n25n^2\sqrt{5}  

c)

5n2n5n^2\sqrt{n}  

d)

5n5n  

35.

Simplify the radical expression:
2x2y3\sqrt{2x^2y^3}  

a)

2yxy2y\sqrt{xy}  

b)

2xy22x\sqrt{y^2}  

c)

y2xyy\sqrt{2xy}  

d)

xy2yxy\sqrt{2y}  

36.

Simplify the radical expression:
128a3b4\sqrt{128a^3b^4}  

a)

8ab22a8ab^2\sqrt{2a}  

b)

2a8ab22a\sqrt{8ab^2}  

c)

2ab64ab2ab\sqrt{64ab}  

d)

64ab22a64ab^2\sqrt{2a}