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Exponents And Radicals

NIOS · Class 10 · Maths

Quick revision notes for Exponents And Radicals — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

37 questions30 flashcards5 concepts

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A labeled diagram explaining the components of exponential notation (base, exponent, power) with examples.
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Key Topics to Revise

1

1. Exponential Notation and Basic Terms

  • The notation for writing the product of a number by itself several times is called the Exponential Notation or Exponential Form.
  • In a power like 7^2, 7 is the base and 2 is the exponent or index.
  • Exponential notation makes repeated multiplication shorter and easier to work with.
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2. Laws of Exponents

  • Law 1: multiplying powers with the same base adds the exponents.
  • Law 2: dividing powers with the same base and m > n subtracts the exponents.
  • Law 3: when n > m, division gives a reciprocal power.
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3. Rational Exponents and Prime Factorisation

  • a^(1/q) is defined as the qth root of a.
  • The general rational power formula is a^(p/q) = qth root of a^p.
  • Prime factorisation writes a natural number as a product of powers of prime numbers.
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4. Surds and Their Types

  • A surd is a positive irrational number of the type nth root of x, where x is a positive rational number and the nth root cannot be found exactly.
  • A surd must satisfy two conditions: it is irrational and it is a root of a positive rational number.
  • When the order of a surd is not mentioned, it is taken as 2.

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Full Notes

Key Concepts

The notation for writing the productThe main lawsThe expression a^(1/q) is defined asAny natural number other than 1A surd is a positive irrational

Frequently Asked Questions

What are the important topics in Exponents And Radicals for NIOS Class 10 Maths?
Key topics in Exponents And Radicals include Exponents and Radicals Concept Map, Exponents and Radicals - Complete Overview, Exponents and Radicals Concept Map. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Exponents And Radicals — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 37 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

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

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