1. What is 5³?
- A125
- B15
- C75
- D243
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Answer: A) 125
5³ means 5 × 5 × 5 = 125.
Class 7 Exponents and Powers — practice questions with answers
Number System · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. What is 8¹?
- A8
- B1
- C0
- D9
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Answer: A) 8
Any number raised to the power of 1 is the number itself.
3. Using the law a^m x a^n = a^(m+n), express 5⁴ x 5³ as a single power.
- A5⁷
- B5¹2
- C25⁷
- D5¹
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Answer: A) 5⁷
Same base, so add exponents: 5⁴ x 5³ = 5^(4+3) = 5⁷.
4. Find the value of (10²)³.
- A900000
- B1100000
- C2000000
- D1000000
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Answer: D) 1000000
(10²)³ = 10^(2 x 3) = 10⁶ = 1,000,000.
5. Express the population of a town, 2,30,000, in standard form (scientific notation).
- A2.3 x 10⁵
- B23 x 10⁴
- C2.3 x 10⁴
- D2.3 x 10⁶
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Answer: A) 2.3 x 10⁵
2,30,000 = 230,000 = 2.3 x 100,000 = 2.3 x 10⁵. The first factor must lie between 1 and 10.
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