Class 9 Number Systems MCQs – Laws of Exponents & Operations on Real Numbers
CBSE Class 9 Maths Chapter 1 – Laws of Exponents & Operations on Real Numbers MCQs
Class: 9
Subject: Mathematics
Chapter: 1 – Number Systems
Topic: Laws of Exponents & Operations on Real Numbers
Board: CBSE (Based on Latest NCERT Curriculum)
These Multiple Choice Questions (MCQs) are designed strictly as per the CBSE curriculum based on NCERT books and are ideal for CBSE Class 9 Mathematics examinations.
Subject: Mathematics
Chapter: 1 – Number Systems
Topic: Laws of Exponents & Operations on Real Numbers
Board: CBSE (Based on Latest NCERT Curriculum)
These Multiple Choice Questions (MCQs) are designed strictly as per the CBSE curriculum based on NCERT books and are ideal for CBSE Class 9 Mathematics examinations.
1. What is 2³ × 2⁴?
Answer: A) 2⁷
Explanation: When multiplying powers with same base, add exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
Explanation: When multiplying powers with same base, add exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
2. Simplify (5²)³.
Answer: B) 5⁶
Explanation: Power of a power: (a^m)^n = a^(m×n). So (5²)³ = 5^(2×3) = 5⁶.
Explanation: Power of a power: (a^m)^n = a^(m×n). So (5²)³ = 5^(2×3) = 5⁶.
3. What is 10⁰?
Answer: B) 1
Explanation: Any non-zero number raised to power 0 equals 1.
Explanation: Any non-zero number raised to power 0 equals 1.
4. Simplify 7⁵ ÷ 7².
Answer: A) 7³
Explanation: When dividing same bases, subtract exponents: 7^(5−2) = 7³.
Explanation: When dividing same bases, subtract exponents: 7^(5−2) = 7³.
5. 3⁻² equals:
Answer: C) 1/9
Explanation: a⁻ⁿ = 1/aⁿ. So 3⁻² = 1/3² = 1/9.
Explanation: a⁻ⁿ = 1/aⁿ. So 3⁻² = 1/3² = 1/9.
6. Simplify 4 × √2 + 3 × √2.
Answer: A) 7√2
Explanation: Like radicals can be added: 4√2 + 3√2 = 7√2.
Explanation: Like radicals can be added: 4√2 + 3√2 = 7√2.
7. √3 × √3 equals:
Answer: A) 3
Explanation: √a × √a = a. So √3 × √3 = 3.
Explanation: √a × √a = a. So √3 × √3 = 3.
8. (2 × 3)² equals:
Answer: D) Both A and B
Explanation: (2×3)² = 6² = 36.
Explanation: (2×3)² = 6² = 36.
9. Simplify √8.
Answer: A) 2√2
Explanation: √8 = √(4×2) = 2√2.
Explanation: √8 = √(4×2) = 2√2.
10. What is 2³ × 3³?
Answer: A) 6³
Explanation: a³ × b³ = (ab)³. So 2³ × 3³ = (2×3)³ = 6³.
Explanation: a³ × b³ = (ab)³. So 2³ × 3³ = (2×3)³ = 6³.
11. 5⁻¹ equals:
Answer: B) 1/5
Explanation: Negative exponent means reciprocal.
Explanation: Negative exponent means reciprocal.
12. √(9/16) equals:
Answer: A) 3/4
Explanation: √9/√16 = 3/4.
Explanation: √9/√16 = 3/4.
13. (a⁰ × b⁰) equals:
Answer: B) 1
Explanation: Any non-zero number to power 0 equals 1.
Explanation: Any non-zero number to power 0 equals 1.
14. Simplify √50.
Answer: A) 5√2
Explanation: √50 = √(25×2) = 5√2.
Explanation: √50 = √(25×2) = 5√2.
15. 4⁻² equals:
Answer: A) 1/16
Explanation: 4⁻² = 1/4² = 1/16.
Explanation: 4⁻² = 1/4² = 1/16.
16. √5 × √20 equals:
Answer: C) Both A and B
Explanation: √5×√20 = √100 = 10.
Explanation: √5×√20 = √100 = 10.
17. (3²)⁰ equals:
Answer: B) 1
Explanation: Any non-zero number raised to 0 equals 1.
Explanation: Any non-zero number raised to 0 equals 1.
18. Simplify 8^(2/3).
Answer: A) 4
Explanation: 8^(2/3) = (∛8)² = 2² = 4.
Explanation: 8^(2/3) = (∛8)² = 2² = 4.
19. Which property is used in aⁿ × aᵐ = aⁿ⁺ᵐ?
Answer: B) Product law
Explanation: Product law of exponents adds exponents.
Explanation: Product law of exponents adds exponents.
20. √12 can be written as:
Answer: A) 2√3
Explanation: √12 = √(4×3) = 2√3.
Explanation: √12 = √(4×3) = 2√3.