NEW
Font size
S
M
L
XL
WorksheetsKhan Academy Algebra 2 Rationals and Exponents
Total questions: 25
Worksheet time: 30mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
a
b)
b
c)
c
d)
d
3.
Re-write the expression in the most simplified exponential form.
(∜y)10
(∜y)10
a)
y10/4
b)
y2/5
c)
y14
d)
y5/2
4.
Re-write the expression in radical form.
x2/3
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
5.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
6.
Rewrite the following as a radical. Simplify if possible.
a)
A
b)
B
c)
C
d)
D
7.
Rewrite in radical form.
a)
A
b)
B
c)
C
d)
D
8.
1)
a)
A
b)
B
c)
C
d)
D
9.
.
a)
A
b)
B
c)
C
d)
D
10.
The square root of 36x2 is __________
a)
6
b)
6x
c)
4x
d)
6x2
11.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
12.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7⅓
d)
27
13.
According to exponent rules, when we multiply the coefficients we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
15.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
16.
Simplify the following expression:
a)
5
b)
25
c)
125
d)
625
17.
Simplify:
a)
2
b)
8
c)
16
d)
32
18.
Simplify:
a)
2
b)
4
c)
8
d)
16
19.
Simplify the following expression:
a)
16
b)
32
c)
40
d)
64
20.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
21.
Simplify:
a)
2
b)
4
c)
16
d)
64
22.
a)
4
b)
4, -1
c)
-1
d)
-4
23.
Solve for x:
(x + 2)1/2 - 5 = -2
(x + 2)1/2 - 5 = -2
a)
1
b)
5
c)
7
d)
9
24.
Solve the following. Be sure to check for extraneous solutions!
a)
A
b)
B
c)
C
d)
D
25.
Solve for x. Be sure to CHECK YOUR ANSWERS for any extraneous solutions.
a)
4
b)
4, -1
c)
-1
d)
-4
Reset
