Indices — Practice Quiz
ICSE · Class 9 · Mathematics
Try a 4-question quiz on Indices for ICSE Class 9 Mathematics: tap an answer to check it and see why. 35 questions in the full chapter test.
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Quick Quiz: Indices
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What is the value of 2³ × 2⁴?
Simplify: 5⁶ ÷ 5²
What is the value of (3²)³?
What is the value of 2⁻³?
Sample Questions
Which of the following are equal to 1? (Select all correct answers)
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7⁰, (-5)⁰, 100⁰, 1⁵
Any non-zero number raised to power 0 equals 1. Also, 1 raised to any power equals 1. So 7⁰ = 1, (-5)⁰ = 1, 100⁰ = 1, and 1⁵ = 1. But 0⁵ = 0.
Simplify: (2 × 3)⁴
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2⁴ × 3⁴
Using the law: (a × b)ᵐ = aᵐ × bᵐ. So (2 × 3)⁴ = 2⁴ × 3⁴ = 16 × 81 = 1296. Note that 6⁴ is also equal to 1296, but the question asks for simplification using index laws.
What is √16?
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4
√16 = 16^(1/2) = (4²)^(1/2) = 4^(2×1/2) = 4¹ = 4. We can verify: 4 × 4 = 16.
Which expressions are equivalent to 8^(1/3)? (Select all correct answers)
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∛8, 2, ∛2³, (2³)^(1/3)
8^(1/3) = ∛8 = ∛(2³) = 2. Also, (2³)^(1/3) = 2^(3×1/3) = 2¹ = 2. All these equal 2.
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