Indices — Important Questions
ICSE · Class 9 · Mathematics
35 important questions from Indices for ICSE Class 9 Mathematics, with answers. Includes multiple choice, multiple correct and text answer questions.
Interactive on Super Tutor
Studying Indices? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
One of 3 illustrations for Indices in Super Tutor — alongside flashcards, concept maps and practice questions.
Important Questions from Indices
Which of the following are equal to 1? (Select all correct answers)
Show answer
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
Show answer
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?
Show answer
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)
Show answer
∛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.
+31 more questions on Indices (ICSE Class 9 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Indices for ICSE Class 9 Mathematics?
How many important questions are there in Indices?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Indices
Practice Quiz
Test yourself with a quick quiz
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Indices chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 9 Mathematics. Free to start, no card needed.