NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.6 – Number System

Download NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.6 – Number System. This Exercise contains 3 questions, for which detailed answers have been provided in this note. In case you are looking at studying the remaining Exercise for Class 9 for Maths NCERT solutions for Chapter 2 or other Chapters, you can click the link at the end of this Note.

NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.6 – Number System

NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.6 – Number System

(1). Find :             

(i)64^1/2
(ii) 32^1/5
(iii)125^1/3 

Solution:

(i)64^1/2 = (8²)^1/2 = 8

(ii) 32^1/5  = (2⁵)^1/5 = 2

(iii)125^1/3= (5³)^1/3 = 5

(2). Find :             

(i)9^3/2
(ii)32^2/5 
(iii)16^3/4
(iv) 125^-1/3

Solution:

(i)9^3/2  = 27

(ii)32^2/5   = 4

(iii)16^3/4 = 8

(iv) 125^-1/3 = 1/5

(3). Simplify :      

(i)2^2/3.2^1/5
(ii)(1/3³)⁷
(iii)(11^1/2)/(11^1/4)
(iv)7^1/2.8^1/2 

Solution:

(i)2^2/3.2^1/5   

= 2^{{(2/3)+(1/5)}}

=2^{{(10 + 3)/15}}

= 2^13/15     

(ii)(1/3³)⁷   

=1/3²¹

= 3^-21 

(iii)(11^1/2)/(11^1/4)

= 11^{{(1/2) – (1/4)}}

=  11^{(2-1)/4}

=  11^1/4

(iv)7^1/2.8^1/2               

=(7×8)^1/2

= (56)^1/2

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.6 – Number System, has been designed by the NCERT to test the knowledge of the student on the topic – Laws of Exponents for Real Numbers

The next Exercise for NCERT Solutions for Class 9 Maths Chapter 2 Exercise 2.1 – Number System can be accessed by clicking here.

• Maths – NCERT Solutions Class 9
• NCERT Solutions Class 9

Download NCERT Solutions For Class 9 Maths Chapter 1 Exercise 1.6 – Number System