Transcription of EXPONENTS AND RADICALS - National Institute of Open …
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EXPONENTS AND RADICALS - National Institute of Open …
EXPONENTS and RadicalsNotesMODULE - 1 AlgebraMathematics Secondary Course 392 EXPONENTS AND RADICALSWe have learnt about multiplication of two or more real numbers in the earlier lesson. Youcan very easily write the following4 4 4 = 64,11 11 11 11 = 14641 and2 2 2 2 2 2 2 2 = 256 Think of the situation when 13 is to be multiplied 15 times. How difficult is it to write?13 13 13 ..15 times?This difficulty can be overcome by the introduction of exponential notation. In this lesson,we shall explain the meaning of this notation, state and prove the laws of EXPONENTS andlearn to apply these.
where x and y are natural numbers and a and b are integers; simplify expressions involving surds. EXPECTED BACKGROUND KNOWLEDGE Prime numbers Four fundamental operations on numbers Rational numbers Order relation in numbers. 2.1 EXPONENTIAL NOTATION Consider the following products: (i) 7 × 7 (ii) 3 × 3 × 3 (iii) 6 × 6 × 6 × 6 × 6
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