Exercise 1.6 NCERT Solutions: Number System

# Exercise 1.6 NCERT Solutions: Number System - Extra Documents & Tests for Class 9

1. Find:

(i) 641/2
Solution:
641/2 = (8×8)1/2
= (82)½
= 81 [⸪2×1/2 = 2/2 =1]
= 8

(ii) 321/5
Solution:
321/5 = (25)1/5
= (25)
= 21 [⸪5×1/5 = 1]
= 2

(iii) 1251/3
Solution:
(125)1/3 = (5×5×5)1/3
= (53)
= 51 (3×1/3 = 3/3 = 1)
= 5

2. Find:
(i) 93/2
Solution:
93/2 = (3×3)3/2
= (32)3/2
= 33 [⸪2×3/2 = 3]
=27

(ii) 322/5
Solution:
322/5 = (2×2×2×2×2)2/5
= (25)2⁄5
= 22 [⸪5×2/5= 2]
= 4

(iii)163/4
Solution:
163/4 = (2×2×2×2)3/4
= (24)3⁄4
= 23 [⸪4×3/4 = 3]
= 8

(iv) 125-1/3
Solution:
125-1/3 = (5×5×5)-1/3
= (53)-1⁄3
= 5-1 [⸪3×-1/3 = -1]
= 1/5

3. Simplify:
(i) 22/3×21/5
Solution:
22/3×21/5 = 2(2/3)+(1/5) [⸪Since, am×an=am+n____ Laws of exponents]
= 213/15 [⸪2/3 + 1/5 = (2×5+3×1)/(3×5) = 13/15]

(ii) (1/33)7
Solution:
(1/33)= (3-3)7 [⸪Since,(am)= am x n____ Laws of exponents]
= 3-21

(iii) 111/2/111/4
Solution:
111/2/111/4 = 11(1/2)-(1/4)
= 111/4 [⸪(1/2) – (1/4) = (1×4-2×1)/(2×4) = 4-2)/8 = 2/8 = ¼ ]

(iv) 71/2×81/2
Solution:
71/2×81/2 = (7×8)1/2 [⸪Since, (am×b= (a×b)m ____ Laws of exponents]
= 561/2

The document Exercise 1.6 NCERT Solutions: Number System | Extra Documents & Tests for Class 9 is a part of the Class 9 Course Extra Documents & Tests for Class 9.
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## Extra Documents & Tests for Class 9

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## FAQs on Exercise 1.6 NCERT Solutions: Number System - Extra Documents & Tests for Class 9

 1. How can I access the NCERT Solutions for Exercise 1.6 on Number System for Class 9?
Ans. You can access the NCERT Solutions for Exercise 1.6 on Number System for Class 9 by referring to the official NCERT website. They provide free access to the solutions for all the exercises in the NCERT textbook.
 2. Are the NCERT Solutions for Exercise 1.6 on Number System for Class 9 available in multiple languages?
Ans. Yes, the NCERT Solutions for Exercise 1.6 on Number System for Class 9 are available in multiple languages. You can find them in languages such as English, Hindi, Urdu, and more, depending on the language options provided by NCERT.
 3. How can the NCERT Solutions for Exercise 1.6 on Number System for Class 9 help me prepare for the exam?
Ans. The NCERT Solutions for Exercise 1.6 on Number System for Class 9 can help you prepare for the exam by providing step-by-step explanations and solutions to the problems. They will help you understand the concepts better and practice solving similar problems, which will enhance your problem-solving skills and boost your confidence for the exam.
 4. Can I rely solely on the NCERT Solutions for Exercise 1.6 on Number System for Class 9 for my exam preparation?
Ans. While the NCERT Solutions for Exercise 1.6 on Number System for Class 9 are a valuable resource for exam preparation, it is recommended to refer to other study materials as well. The solutions should be used as a supplement to your understanding and practice. Consulting additional reference books, solving sample papers, and seeking guidance from teachers or tutors will provide a more comprehensive preparation for the exam.
 5. Are the NCERT Solutions for Exercise 1.6 on Number System for Class 9 suitable for self-study?
Ans. Yes, the NCERT Solutions for Exercise 1.6 on Number System for Class 9 are suitable for self-study. They are designed to be easily understandable and provide step-by-step solutions. However, if you encounter any difficulties or have further questions, it is advisable to seek guidance from a teacher or an experienced person to ensure a thorough understanding of the concepts.

## Extra Documents & Tests for Class 9

1 videos|228 docs|21 tests

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