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Rational Exponents And Radicals
Test Description: Convert between fraction exponents and radical form.
Instructions: Answer all questions to get your test result.
1) Write in exponential form: √x
A
x^0
B
x^1
C
x^½
D
x^2
2) Write in exponential form: ∛x²
A
x^1/2
B
x^3/2
C
x^2/3
D
x^1/3
3) Write in radical form: x^4/3
A
∛x⁴
B
∛x
C
∜x
D
∜x³
4) Write in radical form: x^3/4
A
∛x
B
∜x³
C
∛x⁴
D
∜x
5) Write in exponential form: ∜x⁷
A
x^4/7
B
x^7/4
C
x^1/4
D
x^7/2
6) Write in exponential form: √y⁵
A
y^2/5
B
y^5/2
C
y^5
D
y^5/1
7) Select the equation that is true.
A
x^4/1 = ∜x
B
x^1/4 = ∜x
C
x^1/2 = ∜x
D
x^0/4 = ∜x
8) Write √x⁸ in an equivalent form
A
x^8/0
B
x^8/1
C
x^4
D
x^1/4
9) An exponent of ½ is the same as...
A
cubing
B
a cube root
C
a square root
D
squaring
10) An exponent of ⅓ is the same as...
A
a square root
B
squaring
C
a cube root
D
cubing
11) Simplify: 16^1/2
A
5
B
8
C
4
D
6
12) Simplify: 27^2/3
A
18
B
9
C
27
D
3
13) Simplify: 100^1/2
A
100
B
10
C
25
D
50
14) 49^3/2
A
117,649
B
7
C
24.5
D
343
15) 8^1/3
A
512
B
8
C
2.667
D
2
16) 36^1/2
A
16
B
18
C
6
D
1,296
17) Write in exponential form: ∛7⁴
A
7^3/4
B
3^4/7
C
7^4/3
D
3^7/4
18) Write in radical form: 4^3/2
A
∛4²
B
∜3²
C
√3⁴
D
√4³
*select an answer for all questions
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