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Exponents And Radicals — Revision Notes

NIOS · Class 10 · Maths

Exponents And Radicals revision notes for NIOS Class 10 Maths: 4 topics in quick points. Part of the NIOS Class 10 Maths syllabus.

37 questions30 flashcards14 formulas & key relations5 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

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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 Exponential Notation and Basic Terms, Laws of Exponents, Rational Exponents and Prime Factorisation, Surds and Their Types. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Exponents And Radicals for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 37 practice questions on Exponents And Radicals. Revise 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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