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Important Questions

Indices

ICSE · Class 9 · Mathematics

Most important questions from Indices for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

35 questions24 flashcards5 concepts

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A labeled diagram explaining the components of an exponential expression, showing the base, exponent (power/index), and the expanded form as repeated multiplication.
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35 Questions·
multiple choicemultiple correcttext answerordering

Sample Questions

1multiple correct

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.

2multiple choice

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.

3multiple choice

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.

4multiple correct

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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Frequently Asked Questions

What are the important topics in Indices for ICSE Class 9 Mathematics?
Indices covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Indices — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 35 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Indices?
There are 35 practice questions available for Indices. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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