RD Sharma Solutions for Class 9 Maths Chapter 2, focuses on Exponents of Real Numbers, offer students detailed explanations of concepts such as integral exponents, laws of exponents, and rational powers. These Class 9 RD Sharma solutions help simplify complex textbook problems, making it easier for students to excel in their CBSE Class 9 Maths exams.
RD Sharma Solutions are best study resources for anyone who wants to excel in CBSE Board Class 9 exam. Free downloadable RD Sharma Class 9 Solutions Chapter 2 PDFs are available for easy practice, while key topics like principal nth root of a real number and essential properties of exponents are covered in-depth, making exam preparation and revision more efficient and effective.
RD Sharma Class 9 Solutions Chapter 2 Download PDF
The RD Sharma Class 9 Solutions Chapter 2 PDF is a very helpful resource for students preparing for their CBSE Class 9 Maths exams. This PDF covers all important topics from the chapter Exponents of Real Numbers, including laws of exponents, negative and fractional powers, simplification of algebraic expressions with exponents, and solving questions based on standard form.
Each exercise, such as Exercise 2.1 and Exercise 2.2, is explained step by step with clear methods and examples. With this free downloadable PDF, students can practice offline, revise key formulas. It is designed as per the latest CBSE syllabus, making it a must‑have study material for scoring high in Class 9 Maths.
Access Answers to Maths RD Sharma Solutions for Class 9 Chapter 2 Exponents of Real Numbers
Q1. Simplify: 3(a⁴b³)¹⁰ × 5(a²b²)³
= 3 × a40 × b30 × 5 × a6 × b6
Combine like terms:
= 3×5 = 15
= a40 × a6 = a46
= b30 × b6 = b36
Final Answer: 15a46b36
Q2. Simplify: (2x⁻²y³)³
= 8x−6y9
Final Answer: 8x−6y9
Q3. Simplify: (4×10⁷)(6×10⁻⁵) / (8×10⁴)
Denominator: 8×10⁴
= (24×10²) / (8×10⁴) = 3×10⁻² = 3/100
Final Answer: 3/100
Q4. Simplify: (4ab² × −5ab³) / (10a²b²)
= −20a²b⁵ / 10a²b²
= −2b³
Final Answer: −2b³
Q5. Simplify: (x²y²a²b³)ⁿ / (a²b³x²y²)ⁿ
Final Answer: 1
Q6. Simplify: (a3n−9) / (a2n−4)
(3n−9)−(2n−4)= (3n−9−2n+4)= a(n−5).
Final Answer: an−5
Q7. If a=3, b=−2, find a³ + b⁻²
Sum = 27 + 1/4 = 109/4
Final Answer: 109/4
Q8. If a=3, b=−2, find a⁻² + b³
Sum = 1/9 − 8 = −71/9
Final Answer: −71/9
Q9. If a=3, b=−2, find (a+b)/ab
= 1 / (−6) = −1/6
Final Answer: −1/6
Q10. Prove:
(xa/xb)(a²+ab+b²) × (xb/xc)(b²+bc+c²) × (xc/xa)(c²+ca+a²) = 1
All terms cancel out, powers add up to zero.
= x⁰ = 1
Final Answer: 1
Solving RD Sharma Solutions for Class 9 Maths, Chapter 2 (Exponents of Real Numbers) gives students the foundation and clarity they need in handling exponents. This chapter covers essential mathematical concepts that are crucial for excelling in more advanced math.
- It breaks down the rules of exponents, so instead of just memorizing, you actually grasp the ideas.
- Each solution walks you through the method, making even tough problems feel easier.
- Students will see lots of question types, so real exam questions feel familiar.
- Regular practice with exponent laws improves your speed and accuracy.
- The rules of exponents show up in algebra, physics, and higher math—mastering now pays off later.
Tips to Solve RD Sharma Solutions for Class 9 Maths Chapter 2
1. Understand the Laws of Exponents First - Learn all the exponent rules (such as am×an=am+nam×an=am+n). Practice easy examples before starting the main exercises.
2. Take your time while reading each question. Write all calculation steps; do not skip, even if you feel they're easy.
3. Go through solved examples in the book before attempting exercises. Notice the pattern and logic used to solve different questions.
4. Write formulas for product, quotient, power of a power, negative exponents, and zero exponent on a separate sheet.
5. After solving, compare your solution with the RD Sharma or teacher’s answer. If incorrect, figure out which step went wrong before moving on.
6. Do mixed exercises that use several exponent rules in one problem.