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Rational/Fractional Exponents

Total questions: 14

Worksheet time: 17mins

Name
Class
Date
1.

Which radical expression is equivalent to x18x^{\frac{1}{8}}  

a)
b)
c)
d)
2.

Which exponential expression is equivalent to

a)
b)
c)
d)
3.

a)
b)
c)
d)
4.

a)
b)
c)
d)
5.

a)
b)
c)
d)
6.

a)
b)
c)
d)
7.

a)
b)
c)
d)
8.

a)
b)
c)
d)
9.

What is the value of the index?

a)

18\frac{1}{8}

b)

88

c)

55

d)

58\frac{5}{8}

10.

What is the value of the power?

a)

 19\frac{1}{9} 

b)

 99 

c)

 1-1  

d)

 11  

e)

 19-\frac{1}{9}  

11.
Write as a radical expression
y¹⁄ ³
a)
∛y
b)
c)
√y
d)
1∕ 3y
12.

   \sqrt{ }  has an imaginary index of ___. 

a)

1

b)

0

c)

2

13.

Rewrite the following

∛x5

a)

x3/5

b)

x5/3

c)

x2

d)

x3⋅x5

14.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7
d)
27