- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.3
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5
NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5
Ex 1.5 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 1.5 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 1.5 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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