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Indices and Cube Root

Total questions: 10

Worksheet time: 4mins

Name
Class
Date
1.


 ama^m  ÷  ana^n   = ____

a)

 am−na^{m-n}  

b)

 am+na^{m+n}  

c)

 am×na^{m\times n}  

d)

 am÷na^{m\div n}  

2.

What is the cube root of 2197?

a)

12

b)

13

c)

14

d)

15

3.

Cube root of 216 is _______

a)

6

b)

-6

c)

none of the above

d)

both a and b

4.

Which of the following is a perfect cube ?

a)

25

b)

100

c)

125

d)

115

5.

Find the least number by which 750 should be multiplied, so that it becomes a perfect cube.

a)

12

b)

24

c)

36

d)

48

6.

Square of Cube root of 140 …….

a)

(82)13\left(8^2\right)^{\frac{1}{3}}

b)

(81 3 )2\left(8^{\frac{1}{\ 3\ }}\right)^2

c)

(1402)13\left(140^2\right)^{\frac{1}{3}}

d)

(1401 3 )2\left(140^{\frac{1}{\ 3\ }}\right)^2

7.

Cube of -21 is………

a)

-1226

b)

-9261

c)

9261

d)

None

8.

In general , a1na^{\frac{1}{n}} is written as ‘nth‘n^{th} root of a’ 

a)

 TRUETRUE  

b)

 FALSEFALSE  

9.

 61=?6^1=? 

a)

 11  

b)

 00  

c)

 66  

d)

 −6-6  

10.

 (ab)−m\left(\frac{a}{b}\right)^{-m}  =

a)

 (ba)m\left(\frac{b}{a}\right)^m  

b)

 (ba m)\left(\frac{b}{a}\ m\right)  

c)

 ambm\frac{a^m}{b^m}  

d)

 bmam\frac{b^m}{a^m}