NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6

# NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6 are the part of NCERT Solutions for Class 9 Maths. Here you can find the NCERT Solutions for Class 9 Maths Chapter 1 Number System Ex 1.6.

Ex 1.6 Class 9 Maths Question 1.
Find:

Solution:
(i)
64 = 8 × 8 = 82
(64)1/2 = (82)1/2 = 82 × 1/2 = 8             [ (am)n = am × n]
(ii) 32 = 2 × 2 × 2 × 2 × 2 = 25
(32)1/5 = (25)1/5 = 25 × 1/5 = 2              [ (am)n= am × n]
(iii) 125 = 5 × 5 × 5 = 53
(125)1/3 = (53)1/3 = 53 × 1/3 = 5           [ (am)n = am × n]

Ex 1.6 Class 9 Maths Question 2.
Find:

Solution:
(i)
9 = 3 × 3 = 32
(9)3/2= (32)3/2 = 32 × 3/2                  [ (am)n = am × n]

= 33 = 27

(ii) 32 = 2 × 2 × 2 × 2 × 2= 25
(32)2/5 = (25)2/5 = 25 × 2/5              [ (am)n = am × n]

= 22 = 4

(iii) 16 = 2 × 2 × 2 × 2 = 24
(16)3/4 = (24)3/4 = 24 × 3/4              [ (am)n = am × n]

= 23 = 8

(iv) 125 = 5 × 5 × 5 = 53
(125)-1/3 = (53)-1/3 = 53 × (-1/3) = 5-1
1/5             [
a-n = 1/an ]

Ex 1.6 Class 9 Maths Question 3.
Simplify:

Solution:
(i)
22/3. 21/5 = 22/3 + 1/5 = 213/15                          [ am. an = am + n]

(iv) 71/2. 81/2 = (7 × 8)1/2 = (56)1/2           [ am × bm = (ab)m]

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