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Class 9 Exam > Class 9 Notes > Extra Documents & Tests for Class 9 > Exercise 1.6 NCERT Solutions: Number System
NCERT Solutions for Class 9 Maths - Exercise 1.6 Number System
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)⅕
= 21 [⸪5×1/5 = 1]
= 2
(iii) 1251/3
Solution:
(125)1/3 = (5×5×5)1/3
= (53)⅓
= 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)7 = (3-3)7 [⸪Since,(am)n = 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×bm = (a×b)m ____ Laws of exponents]
= 561/2
The document NCERT Solutions for Class 9 Maths - Exercise 1.6 Number System is a part of the Class 9 Course Extra Documents & Tests for Class 9.
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FAQs on NCERT Solutions for Class 9 Maths - Exercise 1.6 Number System
| 1. How can I access the NCERT Solutions for Exercise 1.6 on Number System for Class 9? |  |
| 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.
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