1. Simplify: 2³ * 2⁴.
- A2⁷
- B2¹2
- C4⁷
- D2¹
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Answer: A) 2⁷
Same base, add exponents: 2³ * 2⁴ = 2^(3+4) = 2⁷.
Class 9 Laws of Exponents for Real Numbers — practice questions with answers
Number Systems · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Simplify: 10^-3 written as a fraction.
- A
- B
- C-1000
- D
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Answer: A)
10^-3 = .
3. Simplify: (2^(1/2))⁴.
- A8
- B5
- C3
- D4
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Answer: D) 4
(2^(1/2))⁴ = 2^(1/2 * 4) = 2² = 4.
4. An astronomer's notes from a Bengaluru observatory state a distance as 10⁷ km and another as 10⁴ km.
She wants the ratio of the larger distance to the smaller as a single power of 10.
What is that power of 10?
She wants the ratio of the larger distance to the smaller as a single power of 10.
What is that power of 10?
- A10³
- B10¹1
- C10²8
- D10¹.75
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Answer: A) 10³
Ratio = 10⁷ / 10⁴ = 10^(7-4) = 10³.
5. A teacher in Amritsar asks the class to fully simplify (a^(1/2) * b^(1/3))⁶ for positive reals a and b.
They must apply the power to each factor and multiply the exponents.
Which expression is the correct simplified form?
They must apply the power to each factor and multiply the exponents.
Which expression is the correct simplified form?
- Aa³ * b²
- Ba³ * b³
- Ca² * b³
- Da^(1/3) * b^(1/2)
Show answer
Answer: A) a³ * b²
(a^(1/2) * b^(1/3))⁶ = a^(1/2 * 6) * b^(1/3 * 6) = a³ * b².
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