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Worksheets

Fractional Indices

Total questions: 13

Worksheet time: 8mins

Name
Class
Date
1.

Which of the following is incorrect?

a)

a2×a6=a12a^2\times a^6=a^{12}

b)

a8÷a3=a5a^8\div a^3=a^5

c)

a6×a3=a9a^6\times a^3=a^9

d)

(2a)2=(4a2)\left(\frac{2}{a}\right)^2=\left(\frac{4}{a^2}\right)

2.

Which of the following is incorrect?

You may choose more than 1 answer.

a)

a3+a3+a3=a9a^3+a^3+a^3=a^9

b)

(3a2)3=27a6\left(3a^2\right)^3=27a^6

c)

(x2y)3=(x6y3)\left(x^2y\right)^3=\left(x^6y^3\right)

d)

(a3b)2=(a23b2)\left(\frac{a}{3b}\right)^2=\left(\frac{a^2}{3b^2}\right)

3.

 (718)1\left(\frac{7}{18}\right)^{-1}  is equal to ...

a)

 718-\frac{7}{18}  

b)

 187-\frac{18}{7}  

c)

 187\frac{18}{7}  

d)

 718\frac{7}{18}  

4.

What is  9129^{\frac{1}{2}}  ?

a)

 8128\frac{1}{2}  

b)

81

c)

3

d)

 4124\frac{1}{2}  

5.

What is 641264^{\frac{1}{2}}  ?


a)

32

b)

 631263\frac{1}{2}  

c)

8

d)

4

6.

What is a12a^{\frac{1}{2}} ?

a)

 a÷12a\div\frac{1}{2}  

b)

 3a^3\sqrt{a}  

c)

 a×12a\times\frac{1}{2}  

d)

 a\sqrt{a}  

7.

What is 8138^{\frac{1}{3}} ?

a)

 83\frac{8}{3}  

b)

24

c)

2

d)

 233\frac{23}{3}  

8.

What is 641364^{\frac{1}{3}} ?


a)

192

b)

4

c)

 643\frac{64}{3}  

d)

8

9.

What is a13a^{\frac{1}{3}} ?

a)

 3a^3\sqrt{a}  

b)

 a\sqrt{a}  

c)

 a×13a\times\frac{1}{3}  

d)

 a÷13a\div\frac{1}{3}  

10.

 435^4\sqrt{3^5} is equal to

a)

 3453^{\frac{4}{5}}  

b)

 3543^{\frac{5}{4}}  

c)

 3153^{\frac{1}{5}}  

d)

 3143^{\frac{1}{4}}  

11.

 (9a)7\left(^9\sqrt{a}\right)^7  is equal to

a)

 (79)a\left(\frac{7}{9}\right)^a  

b)

 a79a^{\frac{7}{9}}  

c)

 (97)a\left(\frac{9}{7}\right)^a  

d)

 a97a^{\frac{9}{7}}  

12.

 nam^n\sqrt{a^m}  or  (na)m\left(^n\sqrt{a}\right)^m  is equal to ...

a)

 amna^{\frac{m}{n}}  

b)

 anma^{\frac{n}{m}}  

c)

 aman\frac{a^m}{a^n}  

d)

 anam\frac{a^n}{a^m}  

13.

Did you enjoy this recap session using Quizizz?

a)

OF COURSE LAH

b)

NOT REALLY LEH

c)

OKAY LAH